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What is the 10th term of an arithmetic progression 5 9 13?

Published in Arithmetic Sequences 1 min read

The 10th term of the arithmetic progression 5, 9, 13 is 41.

To find the 10th term of an arithmetic progression, we can use the following formula:

an = a1 + (n - 1)d

Where:

  • an is the nth term we want to find.
  • a1 is the first term of the arithmetic progression.
  • n is the term number we want to find.
  • d is the common difference between consecutive terms.

In this case:

  • a1 = 5
  • n = 10
  • d = 9 - 5 = 4

Substituting these values into the formula:

a10 = 5 + (10 - 1) 4
a10 = 5 + (9)
4
a10 = 5 + 36
a10 = 41

Therefore, the 10th term of the arithmetic progression is indeed 41, as confirmed by a previous response stating, "hence the 10th term of the ap is 41...".

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