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Question: There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middl...

There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middle term is.

A

23

B

26

C

29

D

32

Answer

26

Explanation

Solution

According to the given condition

152[10+14×d]=390\frac { 15 } { 2 } [ 10 + 14 \times d ] = 390 \Rightarrow d=3d = 3

Hence middle term term is given by

5+7×3=265 + 7 \times 3 = 26.