What is the sum of the first 29 terms of the arithmetic sequence? −43,−35,−27,− enter your answer in the box. s29=

= 2001

Step-by-step explanation:

Since the sequence is an arithmetic sequence , it means that a common difference must exist.

Let the terms in the sequence be , , , , ...

Then common difference = - = - = 8

That is , the common difference (d) = 8

The formula for calculating sum of  n terms is given by :

= [ 2a + (n-1)d ]

Where ;

n = number of terms

a = first term

d = common difference

From the question :

n = 29

a = -43

d = 8

Substituting into the formula , we have

= [ 2{-43} + (29-1)(8) ]

= (-86 +224)

= ( 138)

=

= 2001

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x