Question

Write first four terms of the AP, when the first term a and the common difference d are given as follows:a = 4, d = – 3 *

Answer 1

$\underline\mathfrak{Given:-}$

• The first term a and the common difference d are a = 4, d = -3.

$\underline\mathfrak{To \: \: Find:-}$

• Find the four term of the Ap ......?

$\underline\mathfrak{Solutions:-}$

• first term = 4
• Common difference = -3

We know that,

an = a + (n - 1) d

first term = 4

second term:-

a + (2 - 1)d

a + d

third term:-

a + (3 - 1)d

a + 2d

four term:-

a + (4 - 1)d

a + 3d

Now,

first four term are:-

first term = 4

second term = a + d

4 + (-3)

4 - 3

1

third term = a + 2d

4 + 2(-3)

4 - 6

-2

fourth term = a + 3d

4 + 3(-3)

4 - 9

- 5

hence, first four term of Ap is 4, 1, -2, -5.