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Question

Question: 7<sup>th</sup> term of an A.P. is 40, then the sum of first 13 terms is...

7th term of an A.P. is 40, then the sum of first 13 terms is

A

53

B

520

C

1040

D

2080

Answer

520

Explanation

Solution

S13=132{2a+12d}=13{a+6d}=13×T7=13×40=520S_{13} = \frac{13}{2}\{ 2a + 12d\} = 13\{ a + 6d\} = 13 \times T_{7} = 13 \times 40 = 520