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WORKSHEET: Arithmetic Seq & Series WORKSHEET: Arithmetic Seq & Series Exercises (Arithmetic Series): Exercises (Arithmetic Series): 1) Find the sum of {–3, 2, 7, 12,…,132}. 1) Find the sum of {–3, 2, 7, 12,…,132}. 2) Find the sum of {–7, –9, –11, –13, …, –63}. 2) Find the sum of {–7, –9, –11, –13, …, –63}. 3) Find the sum of {a – b, 2a, 3a + b, … a10}. 3) Find the sum of {a – b, 2a, 3a + b, … a10}. 4) Find the sum of {5a – 3b, 4a – 2b, 3a – b, 2a, …, a8}. 4) Find the sum of {5a – 3b, 4a – 2b, 3a – b, 2a, …, a8}. 5) The 5th term of an arith. seq. is 16 while the 12th 5) The 5th term of an arith. seq. is 16 while the 12th term is 37. Find the sum of the 1st 30 terms. term is 37. Find the sum of the 1st 30 terms. 6) Find the sum of the 1st 100 terms of the arith. seq. 6) Find the sum of the 1st 100 terms of the arith. seq. where the 10th & 16th terms are 118 & 184, resp. where the 10th & 16th terms are 118 & 184, resp. 7) The 16th term of an arith. seq. is 185 and the sum of 7) The 16th term of an arith. seq. is 185 and the sum of the 1st 15 terms is 1335. Find the sum of the 1st 10 the 1st 15 terms is 1335. Find the sum of the 1st 10 terms. terms. 8) The 10th term of an arith. seq. is 25 and the sum of 8) The 10th term of an arith. seq. is 25 and the sum of the 1st 20 terms is 530. Find the 17th term of the the 1st 20 terms is 530. Find the 17th term of the seq. seq. 9) Find the sum of all the even integers from 20 to 9) Find the sum of all the even integers from 20 to 642. 642. 10) Find the sum of the 1st 30 positive multiples of 8. 10) Find the sum of the 1st 30 positive multiples of 8. 11) How many terms of the arith. seq. {2,4,5,7,…} will 11) How many terms of the arith. seq. {2,4,5,7,…} will give a sum of 1001? give a sum of 1001? 12) Find out how many terms of the arith. seq. {12, 12) Find out how many terms of the arith. seq. {12, 10.5, 9, 7.5, …} must be taken in order that the sum 10.5, 9, 7.5, …} must be taken in order that the sum will be equal to 0. will be equal to 0. Word Problems (Arithmetic Sequence & Series): Word Problems (Arithmetic Sequence & Series): 1) Sherry works at the local fast food chain at the rate 1) Sherry works at the local fast food chain at the rate of P32.50/hr. The management said that, of P32.50/hr. The management said that, depending on her performance, her hourly wage depending on her performance, her hourly wage will be increased by P7.50/hr every month. In how will be increased by P7.50/hr every month. In how many months will she be receiving P85 an hour? many months will she be receiving P85 an hour? 2) Jerry deposited P20,000 on an investment that will 2) Jerry deposited P20,000 on an investment that will give P1,750 for every year that his money stays in give P1,750 for every year that his money stays in the account. How much money will he have in his the account. How much money will he have in his account by the end of year 8? account by the end of year 8? 3) There is a stack of logs in the backyard. There are 3) There is a stack of logs in the backyard. There are 15 logs in the 1st layer, 14 in the second, 13 in the 15 logs in the 1st layer, 14 in the second, 13 in the third, 12 in the fourth, and so on with the last layer third, 12 in the fourth, and so on with the last layer having one log. How many logs are in the stack? having one log. How many logs are in the stack? 4) In his piggy bank, Bingo dropped P1.00 on May 1, 4) In his piggy bank, Bingo dropped P1.00 on May 1, P1.75 on May 2, P2.50 on May 3 and so on until the P1.75 on May 2, P2.50 on May 3 and so on until the last day of May. last day of May. a) How much did he drop in his piggy bank on c) How much did he drop in his piggy bank on May 19? May 19? b) What was his total deposit in his piggy bank d) What was his total deposit in his piggy bank for the month of May? for the month of May? 5) There are 20 rows of seats on a concert hall: 25 5) There are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 27 seats on the 2nd row, 29 seats are in the 1st row, 27 seats on the 2nd row, 29 seats on the 3rd row, and so on. If the price per seats on the 3rd row, and so on. If the price per ticket is P2,300, how much will be the total sales ticket is P2,300, how much will be the total sales for a one-night concert if all seats are taken? for a one-night concert if all seats are taken? 6) Sonia has 55 blocks. She decides to stack up all the 6) Sonia has 55 blocks. She decides to stack up all the blocks so that each row has one less block than the blocks so that each row has one less block than the row below. She wants to end up with just 1 block row below. She wants to end up with just 1 block on top. How many should she put in the bottom on top. How many should she put in the bottom row? row? 7) A theater has 32 rows of seats. If there are 26 7) A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? and so on, how many seats are there in all? 8) A tube well is bored 800 meters deep. The 1st meter 8) A tube well is bored 800 meters deep. The 1st meter costs P250 and the cost per meter increases by P50 costs P250 and the cost per meter increases by P50 for every subsequent meter. Find the cost of boring for every subsequent meter. Find the cost of boring the 750th meter and the total cost incurred for the the 750th meter and the total cost incurred for the entire job. entire job.

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