Question

.5 149 is the ________ term of the given A.P. 5, 11, 17, 23, 29, ....*


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Answer 1

Answer:

The answer to 25th term

Step-by-step explanation:

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Answer 2

Answer:

Given, AP: 5, 11, 17, 23, 29........

Here, first term (a) = 5

common difference (d) = 11 - 5 = 6

and, given term ($a_{n}$) = 149

To find: n

Solution: apply the formula for the general term of an arithmetic sequence,

i.e.  $a_{n}=a+(n-1)d$

=> 149 = 5 + (n - 1)6

=> 149 = 5 + 6n - 6

=> 149 = -1 + 6n

=> 150 = 6n

=> n = $\frac{150}{6}$

=> n = 25

Hence, 149 is the $25^{th}$ term of the given A.P.

Hope it helps.

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Regards,

Slogman