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find the 10th term of the series 2,4,8,16?
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?find the 10th term of the series 2,4,8,16?
Finding the 10th term of the series 2,4,8,16


Understanding the series



  • The given series is a geometric progression.

  • The common ratio between any two consecutive terms is 2.

  • The first term of the series is 2.



Finding the 10th term



  • We can use the formula for the nth term of a geometric progression:

  • an = a1 * rn-1

  • Here, a1 = 2 (first term of series)

  • r = 2 (common ratio)

  • n = 10 (we need to find the 10th term)

  • Substituting these values in the formula:

  • a10 = 2 * 210-1

  • a10 = 2 * 29

  • a10 = 2 * 512

  • a10 = 1024



Answer


The 10th term of the series 2, 4, 8, 16 is 1024.
Community Answer
?find the 10th term of the series 2,4,8,16?
It is not the term of an A.P. 2,4,8,16. because the common difference is not equal.
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