Question

For the following APs, write the first term and the common difference:
(i) 3, 1, – 1, – 3, . . . (ii) – 5, – 1, 3, 7, . . .
(iii)1/3, 5/3, 9/3, 13/3 . . . (iv) 0.6, 1.7, 2.8, 3.9, . . .

NCERT Class X
Mathematics - Mathematics

Chapter _ARITHMETIC PROGRESSIONS

Answer 1

(i)first term=3 and common difference=-2
(ii)first term=-5 and common difference=4
(iii)first term=1/3 and common difference=4/3
(iv)first term=0.6 and common difference=1.1

Answer 2

Correct question:-

For the following A.P.s, write the first term and the common difference.

(i) 3, 1, – 1, – 3

(ii) -5, – 1, 3, 7

(iii) 1/3, 5/3, 9/3, 13/3

(iv) 0.6, 1.7, 2.8, 3.9

$\huge\star{\orange{\underline{\mathfrak{Explanation:}}}}$

______________________________________

(i) Given :-

3, 1, – 1, – 3

First term, a = 3

Common difference, d = Second term – First term

$\hookrightarrow$1 – 3 = – 2

= $\star\boxed{d = -2}$

(ii) Given :-

– 5, – 1, 3, 7

First term, a = – 5

Common difference, d = Second term – First term

$\hookrightarrow$( – 1) – ( – 5) = – 1 + 5

$\star\boxed{= 4}$

(iii) Given :-

1/3, 5/3, 9/3, 13/3

First term, a = 1/3

Common difference, d = Second term – First term

$\hookrightarrow$5/3 – 1/3

$\star\boxed{= 4/3}$

(iv) Given :-

0.6, 1.7, 2.8, 3.9 …

First term, a = 0.6

Common difference, d = Second term – First term

$\hookrightarrow$1.7 – 0.6

$\star\boxed{= 1.1}$

$\huge\star{\purple{\underline{\underline{\mathfrak{Hence,Solved!}}}}}$