Question : What is the sum of the first 9 terms of an arithmetic progression, if the first term is 7 and the last term is 55?
Option 1: 219
Option 2: 137
Option 3: 231
Option 4: 279

Question

Question : What is the sum of the first 9 terms of an arithmetic progression, if the first term is 7 and the last term is 55?

Option 1: 219

Option 2: 137

Option 3: 231

Option 4: 279

Team Careers360 · Accepted Answer

Correct Answer: 279

Solution : Given: The first term is 7 and the last term is 55.
Using the formula, S₉ = $\frac{n}{2}(a+l)$
Where $a$ is the first term, $l$ is the last term of the A.P., and n is the number of terms.
By putting the value of 1st and last term,
⇒ S₉ = $\frac{9}{2}$(7 + 55)
⇒ S₉ = $\frac{9}{2}$ × 62
$ herefore$ S₉ = 9 × 31 = 279
Hence, the correct answer is 279.

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Question : What is the sum of the first 9 terms of an arithmetic progression, if the first term is 7 and the last term is 55?Option 1: 219Option 2: 137Option 3: 231Option 4: 279

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Question : What is the sum of the first 9 terms of an arithmetic progression, if the first term is 7 and the last term is 55?
Option 1: 219
Option 2: 137
Option 3: 231
Option 4: 279