SSC Selection Post 2024 PYQ — Question 52

SSC Selection Post - Higher Secondary Level - 24 June 2024 - Shift 2 • Quantitative Aptitude • Q52

Find the sum of 3+32+33+................+383+3^2+3^3+................+3^8.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 9840.

S = 3+32+33+................+383+3^2+3^3+................+3^8

Sn = a × rn−1r−1r^n - 1 \over r-1

⇒ S = 3 × 38−13−13^8 - 1 \over 3-1 = 3 × 6561−126561 - 1 \over 2 = 3 × 3280 = 9840