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Is -150 a Term of the A.P. 11, 8, 5, 2, ...? - CBSE Class 10 - Mathematics

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Question

Is -150 a term of the A.P. 11, 8, 5, 2, ...?

Solution

In the given problem, we are given an A.P and the value of one of its term.

We need to find whether it is a term of the A.P or not.

So here we will use the formula, `a_n = a + (n - 1)d`

Here, A.P is 11, 8, 5, 2,....

`a_n = -150`

a = 11

Now

Common difference(d) = `a_1 - a`

= 8 - 11

= -3

Thus, using the above mentioned formula

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

-150 - 11 = -3n + 3

-161 - 3 = -3n

`n = (-164)/(-3)`

Since, the value of n is a fraction.

Thus -150 is not the term of the given A.P

Therefore the answer is NO

  Is there an error in this question or solution?

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Solution Is -150 a Term of the A.P. 11, 8, 5, 2, ...? Concept: Arithmetic Progression.
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