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Byju's Answer

Standard X

Mathematics

Arithmetic Progression

Write the fir...

Question

Write the first term $a$ and the common difference $d$ of the AP : $- 5, - 1, 3, 7......$

a = - 5, d = 4

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a = - 5, d = - 6

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a = - 5, d = - 4

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a = 5, d = - 4

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Solution

The correct option is A $a = - 5, d = 4$
Given series is $- 5, - 1, 3, 7, . . . . . .$
Clearly first term is $a = - 5$
And common difference $d = - 1 - (- 5) = 4$

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Similar questions

Q. Write an A.P. whose first term is a and common difference is d in each of the following.
(1) a = 10, d = 5
(2) a = –3, d = 0
(3) a = –7, d =

\frac{1}{2}

(4) a = –1.25, d = 3
(5) a = 6, d = –3
(6) a = 19, d = –4

Q. Find the first term

a

and the common difference

d

of A.P. :

- 5, - 1, 3, 7, . . . . .

Write first four terms of the AP, when the first term a and common difference d are given as follows:
(i) a= -2, d=0
(ii) a=4, d=-3
(iii) a= -1.25, d= -0.25

Q. Write first four terms of the AP,when the first term a and the common difference d are given as follows:
(i) a=10 , d=10
(ii) a=-2, d=0
(iii) a=4 , d=-3
(iv) a=-1 ,

d = \frac{1}{2}

(v) a=-1.25 , d=-0.25

Q. In an AP, where the first term is 7 and the common difference is 4, ___ term of the AP will be five times the first term.
Represent this situation in the form of an equation, where

a

= first term,

a_{n}

n^{t h}

term and

d

is the common difference.

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Write the first term a and the common difference d of the AP : −5,−1,3,7......

The correct option is A a=−5,d=4Given series is −5,−1,3,7,......Clearly first term is a=−5And common difference d=−1−(−5)=4

Write the first term $a$ and the common difference $d$ of the AP : $- 5, - 1, 3, 7......$

The correct option is A $a = - 5, d = 4$
Given series is $- 5, - 1, 3, 7, . . . . . .$
Clearly first term is $a = - 5$
And common difference $d = - 1 - (- 5) = 4$