Question

Find the sum of the first terms of the AP 4, -3, -10.

a) -18
b) -20
c) -22
d) -24

Answer 1

To find the sum of the first n terms of an arithmetic progression (AP), we use the formula: Sum = (n/2) * (first term + last term). In this case, the sum of the first n terms of the given AP is (n/2).

Step-by-step explanation:

To find the sum of the first n terms of an arithmetic progression (AP), we use the formula:

Sum = (n/2) * (first term + last term)

In this case, the first term of the AP is 4, and the common difference between the terms is -7. The last term can be found by adding the common difference to the first term.

So, the last term = 4 + (-7) = -3.

Now, we can substitute the values into the formula:

Sum = (n/2) * (4 + (-3))

Simplifying further, we get Sum = (n/2) * 1 = (n/2).

Therefore, the sum of the first n terms of the given AP is (n/2).