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Is the following sequence an AP? If true, find the common diff

Question

Is the following sequence an $A P$ ? If true, find the common difference $d$ and write three more terms.
$- 10, - 6, - 2, 2,$

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Is the following sequence an

A P

? If true, find the common difference

d

and write three more terms.

- 10, - 6, - 2, 2,

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

- 10, - 6, - 2, 2

\Rightarrow

Difference between second and first term

= - 6 - (- 10) = - 6 + 10 = 4

\Rightarrow

Difference between third and second term

= - 2 - (- 6) = - 2 + 6 = 4

\Rightarrow

Difference between fourth and third term

= 2 - (- 2) = 2 + 2 = 4

\Rightarrow

Since, difference is same, it is an

A . P

\Rightarrow

Common difference

= d = 4

\Rightarrow

We have to find next three terms. We are given

4

terms.

\Rightarrow

We have to find

5^{t h}, 6^{t h}

and

7^{t h}

terms.

\Rightarrow

5^{t h}

term

= 4^{t h} t er m + d = 2 + 4 = 6

\Rightarrow

6^{t h}

term

= 5^{t h} t er m + d = 6 + 4 = 10

\Rightarrow

7^{t h}

term

= 6^{t h} t er m + d = 10 + 4 = 14

Hence

5^{t h}, 6^{t h}

and

7^{t h}

terms are

6, 1014

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Question Text	Is the following sequence an $A P$ ? If true, find the common difference $d$ and write three more terms. $- 10, - 6, - 2, 2,$
Answer Type	Text solution:1
Upvotes	150

Is the following sequence an AP? If true, find the common difference d and write three more terms.−10,−6,−2,2,

Text solutionVerified

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Is the following sequence an $A P$ ? If true, find the common difference $d$ and write three more terms.
$- 10, - 6, - 2, 2,$