Question

find the series 14,19,116,125,136,.......​

Answer 1

Step-by-step explanation:

1 option is right

1 already right every no.

4 me agar hm 5 plus kre to 9 aajaga

9 mein agar 7 plus kre to 16 aajaga

16 mein agar 10 plus kre to 25 aajaga

25 mein agar 11 plus kre to 36 aajaga

36 mein agar 13 plus kre to 49 aajaga

so 149 aajaga

thank you

Answer 2

The next term in the series is 149, and the series is 14, 19, 116, 125, 136, 149.

Given,

Series:

14, 19, 116, 125, 136, ......

To find,

Next term in the series.

Solution,

It can be seen that here, the given series is

14, 19, 116, 125, 136, ......

Now, to find the next term, observe the pattern in the series.

The pattern being followed in the given series is such that in a given term, the number "1" is fixed at the left-most position. Then, in the same term, the number placed next to "1" is the square of a natural number, starting from the square of "2" in the first term.

So, we can see that the terms in the series are as follows (remember, "1" is fixed and is not being multiplied with the term in the bracket).

$14=1[2^{2} ],\\19=1[3^{2} ],\\116=1[4^{2} ],\\125=1[5^{2} ],\\136=1[6^{2} ].$

So, in the next term, we should have $7^{2}$ next to "1".

Thus,

the next term = 1[7²] = 149.

Therefore, the next term in the series is 149, and the series is 14, 19, 116, 125, 136, 149.

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