The fourth term of an arithmetic progression is 6. Then the sum of first seven…

2019

The fourth term of an arithmetic progression is 6. Then the sum of first seven terms is:

Answer: C. 42 — In an AP, the sum of an odd number of terms equals the number of terms multiplied by the middle term. For the first 7 terms, the middle term is the 4th term,…

  1. A.

    44

  2. B.

    35

  3. C.

    42

  4. D.

    46

Attempted by 40 students.

Show answer & explanation

Correct answer: C

In an AP, the sum of an odd number of terms equals the number of terms multiplied by the middle term.

For the first 7 terms, the middle term is the 4th term, which is 6.

So S7 = 7 x 6 = 42.

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