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Geometric Progression Formulas The general form of terms of a GP is a, ar, ar2, ar3, and so on. Here, a is the first term and r is the common ratio. The nth term from the end of the GP with the last term l and common ratio r = l/ [r(n 1)].
Three positive numbers form a GP. If the middle number is increased by 8, the three numbers form an AP. If the last number is also increased by 64 along with the previous increase in the middle number, the resulting numbers form a GP again.
There are 7 terms in the GP.
If in a sequence of terms, each succeeding term is generated by multiplying each preceding term with a constant value, then the sequence is called a geometric progression. (GP), whereas the constant value is called the common ratio. For example, 2, 4, 8, 16, 32, 64, is a GP, where the common ratio is 2.
Three positive numbers form an increasing GP. If the middle term of the GP is doubled, then new numbers are in AP.
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