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Check whether {150} is a term of the AP : 11, 8, 5, 2...

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Check whether $150$ is a term of the AP : 11, 8, 5, 2...

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Charlotte Discussed

Check whether

150

is a term of the AP : 11, 8, 5, 2...

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Solution: given

a = 11

8 - 11 = 5 - 8 = - 3

lets say -150 is

r^{t h} t e r m

a + (r - 1) d = - 150

11 + (r - 1) (- 3) = - 150

(r - 1) \cdot 3 = 161

r - 1 = \frac{161}{3}

r = \frac{161}{2} + 1 =

integer
so, -150 is not a term of a given AP

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Question Text	Check whether $150$ is a term of the AP : 11, 8, 5, 2...
Answer Type	Text solution:1
Upvotes	150