Question

Find the 10th term in the series 2 4 8 16

Answer 1

Answer:

The 10th term in the series 2 4 8 16 32 is 64.

Step-by-step explanation:

From the above question,

They have given :

       Series = 2 4 8 16 32

Here we have to find the 10th term in the series 2 4 8 16 32.

To find the 10th term in a series, you would need to know the pattern of the series. Without knowing the pattern, it is impossible to determine the 10th term.

The nth term of an arithmetic sequence is given by

                                 an = a + (n – 1)d.

So, to find the nth term, substitute the given values,

                                  a = 2 and

                                  d = 3 into the formula.

                                 an = 2 + (n – 1)3

Step 2: Now, to find the fifth term, substitute n = 5 into the equation for the nth term.

                             a5 = 2 + (5 – 1)3 = 14

The ' n ' stands for the term number. We can make a sequence using the n th term by substituting different values for the term number( n ). To find the 10th term we would follow the formula for the sequence but substitute 10 instead of ' n '; to find the 50th term we would substitute 50 instead of n .

This is an example of exponential growth, which is a pattern of increase where the value increases by a fixed rate each time.

                             Series =   2 4 8 16 32

Hence, The 10th term in the series 2 4 8 16 32 is 64.

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