Question

The arithmetic progression whose first term is 26 and common difference-7 is

a) 26, 19, 13. 7.

c) 26,19.12,5
b) 26,18.11.4.

d) 26.18.12.5​

Answer 1

Answer :-

[Option (c) 26, 19, 12, 5 ..]

is the correct option.

The required Arithmetic progression is

26, 19, 12, 5 ....

Step-by-step explanation:

To Find :-

• The Arithmetic progression whose first term is 26 and common difference is -7.

★ Solution

Given that,

• First term = 26
• common difference = -7

-------------------------------------------------

∴ Required A.P. is :-

A.P. = a₁, a₂, a₃, a₄ . . . .

• a₁ = first term [26] ... given.

We know,

• a₁ = first term
• a₂ = a + d
• a₃ = a + 2d
• a₄ = a + 3d

Therefore,

• a₁

⇒ a

⇒ 26

⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀

• a₂

⇒ a + d

⇒ 26 + (- 7)

⇒ 26 - 7

⇒ 19

⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀

• a₃

⇒ a + 2d

⇒ 26 + 2*-7

⇒ 26 + (- 14)

⇒ 26 - 14

⇒ 12

⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀

• a₄

⇒ a + 3d

⇒ 26 + 3*-7

⇒ 26 + (- 21)

⇒ 26 - 21

⇒ 5

⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence,

The required A.P. is 26, 19, 12, 5 ...