Question : What is the sum of the first 13 terms of an arithmetic progression if the first term is –10 and the last term is 26?
Option 1: 104
Option 2: 140
Option 3: 84
Option 4: 98

Question

Question : What is the sum of the first 13 terms of an arithmetic progression if the first term is –10 and the last term is 26?

Option 1: 104

Option 2: 140

Option 3: 84

Option 4: 98

Team Careers360 · Accepted Answer

Correct Answer: 104

Solution : Given: The sum of the first 13 terms and the first term is –10 and the last term is 26.
By using the formula, S_n = $\frac{n}{2}[a+l]$
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 values of 1^st and last term, we get,
⇒ S₁₃= $\frac{13}{2}$[–10 + 26]
⇒ S₁₃ = $\frac{13}{2}$[16]
$ herefore$ S₁₃ = 13 × 8 = 104
Hence, the correct answer is 104.

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Question : What is the sum of the first 13 terms of an arithmetic progression if the first term is –10 and the last term is 26?Option 1: 104Option 2: 140Option 3: 84Option 4: 98

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Question : What is the sum of the first 13 terms of an arithmetic progression if the first term is –10 and the last term is 26?
Option 1: 104
Option 2: 140
Option 3: 84
Option 4: 98