Question

Write down the first 5 terms of the AP with first term 2 and common difference -5

Answer 1

Answer:

The first five terms of the AP are 2, -3, -8, -13, -18.

Step-by-step explanation:

The given first term in the arithmetic progression is 2, and the common difference is -5.

We call the first term in an arithmetic progression as 'a'. And the common difference is 'd'. So the second term can be written as,

               $2^{nd}\ term=a+d$

      and    $3^{rd}\ term=a+2d$

From this, we can write the common formula to find any term. That is,

               $n^{th}\ term,\ a_{n}=a+(n-1)d$

Therefore the second term = 2 + (-5) = 2 - 5 = -3

                    third term = 2 + 2(-5) = 2 - 10 = -8

                  fourth term = 2 + 3(-5) = 2 - 15 = -13

          and the fifth term = 2 + 4(-5) = 2 - 20 = -18

Hence the first five terms of the AP are 2, -3, -8, -13, -18.