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A geometric sequence (aka Geometric Progression or GP) is one where each term is the previous term multiplied by a constant (the common difference)

As division is the inverse of multiplication, each term can also be said to be the previous term divided by the reciprocal of the constant.

The sum Sn of n terms of a GP can be found by:

Sn = a(1 - rⁿ)/(1 - r) = a(rⁿ - 1)/(r - 1)

where:

a is the first term

r is the common difference

n is the number of terms

If the value of the common difference is between -1 and 1 (ie |r| < 1), then the sum of the GP will be finite since as n→ ∞ so rⁿ → 0, and will be:

S = a/(1 - r)

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โˆ™ 2017-08-15 07:57:51
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

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