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Answer :

The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.

How to calculate arithmetic progression?

The first term of an arithmetic progression can be calculated using the following expression:

Sn = n/2 [2a + (n − 1)d]

Where;

  • a = first term
  • Un = sum
  • n = no of terms
  • d = common ratio

100 = 2 [2a + (4 - 1)4]

100 = 4a + 24

4a = 100 - 24

a = 76/4

a = 19

Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.

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