Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

Find the sum of the first 77 terms of the arithmetic progression 4, −3, −10, ...
Options
A −20174
Correct Answer
B −1540
C −1820
D −1700
Correct Answer

Option A is the correct answer.

Detailed Explanation

a=4, d=−7, n=77. S_n = 77/2[8 + 76×(-7)] = 77/2[8 - 532] = 77/2×(−524) = 77×(−262) = −20174.

Hint

Common difference is −7.

Question Info