Question

What is the sum of the first 11 terms in the arithmetic sequence if the first term is -3 and the common difference d is 5.  

Answer 1

Answer:

d. 242..................

Answer 2

Answer:

d

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 5, thus

$S_{11}$ = $\frac{11}{2}$ [ (2 × - 3) + (10 × 5) ]

      = 5.5(- 6 + 50)

       = 5.5 × 44

       = 242 → d