SOLUTION: For p = 1,2,3,...,10 let S_p be the sum of the first 40 terms of the arithmetic progression whose first term is p and whose common difference is 2p-1. What is the value of S_1 + S_
Algebra ->
Sequences-and-series
-> SOLUTION: For p = 1,2,3,...,10 let S_p be the sum of the first 40 terms of the arithmetic progression whose first term is p and whose common difference is 2p-1. What is the value of S_1 + S_
Log On
Question 1191488: For p = 1,2,3,...,10 let S_p be the sum of the first 40 terms of the arithmetic progression whose first term is p and whose common difference is 2p-1. What is the value of S_1 + S_2 +...+ S_10? Answer by greenestamps(13334) (Show Source):
The sum of the first 40 terms of the sequence with first term p and common difference (2p-1) is the number of terms, multiplied by the average of the terms.
The number of terms is 40; the average of the terms is the average of the first and last:
