Question

solve the question (iii) in attachment ..... fast​

Answer 1

Answer:

(i) 14 ; (ii) 18, 8 ; (iii)  $6\frac{1}{2}$ , 8 ; (iv) - 2, 0, 2, 4, (v) 53, 23, 8, - 7,

Step-by-step explanation:

(i) $a_{2}$ - d = 2 ..... (1)

$a_{2}$ + d = 26 ..... (2)

(1) + (2)

2$a_{2}$ = 28 ⇒ $a_{2}$ = 14

(ii) $a_{1}$ + d = 13 ..... (1)

$a_{1}$ + 3d = 3 ..... (2)

(2) - (1)

2d = - 10 ⇒ d = - 5

$a_{1}$ = 13 - (- 5) = 18

$a_{3}$ = 13 - 5 = 8

(iii) $a_{2}$ - d = 5

 5 + 3d = 9.5 ⇒ d = 1.5 = $1\frac{1}{2}$

$a_{2}$ = 5 + 1.5 = 6.5 = $6\frac{1}{2}$

$a_{3}$ = $6\frac{1}{2}$ + $1\frac{1}{2}$ = 8

(iv)  - 4 + 5d = 6 ⇒ d = 2

- 4, - 2, 0, 2, 4, 6

(v) $a_{1}$ + d = 38 ..... (1)

$a_{1}$ + 5d = - 22 ..... (2)

(2) - (1)

4d = - 60 ⇒ d = - 15

$a_{1}$ = 38 - (- 15) = 53

53, 38, 23, 8, - 7, - 22

Answer 2

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