Question

What is the next term in the following series 5,10,13,65,72

Answer 1

Step-by-step explanation:

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Answer 2

Concept:

The sequence is the concept or pattern of numbers, words, letters, etc. that follow a pattern.

Given:

We have,

5, 10, 13, 65, 72

Find:

We are asked to find the next term of the given series.

Solution:

So,

We have,

5, 10, 13, 65, 72

So,

Let the next term is y.

⇒

5, 10, 13, 65, 72, y

So,

Now,

First, find out the pattern followed by the given terms,

Now,

As we see the given series,

We find out that,

Series followed ascending order of terms i.e. the value of terms is increasing.

So,

We have to find out the relation between the first two terms,

i.e.

5 and 10

We get,

5 × 2 =10

Now,

10 and 13,

10 + 3 = 13

NOw,

The relation between the next two terms,

i.e.

13 and 65,

i.e.

13 × 5 = 65

Now,

65 and 72,

i.e.

65 + 7 = 72

Now,

72 × y = 72y

So,

The pattern is × 2, + 3, × 5, + 7, × 9,

So,

As we see 2, 3, 5, 7, 9

So, 7 + 2 = 9

Therefore,

The next term of the series  = 72 × 9 = 648

Hence, the next term of the series is 648.

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