Which graph represents a geometric sequence?
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in geometric sequence , ratio of two consecutive terms be always constant. this constant is known as common ratio. if we assume first term is a and common ratio is r
then, geometric sequence is a, ar , ar² , ar³ , ar⁴ ....... ar^(n-1)
so, nth term is ar^(n-1) .
what you observed ?
nth term of geometric sequence is in the form of exponential . so, graph must be exponential.
and you know how to draw exponential function. if we assume a ≥ 1 and 0 < r < 1
then, graph is decreasing but if r ≥ 1 then graph is increasing as shown in figure.
then, geometric sequence is a, ar , ar² , ar³ , ar⁴ ....... ar^(n-1)
so, nth term is ar^(n-1) .
what you observed ?
nth term of geometric sequence is in the form of exponential . so, graph must be exponential.
and you know how to draw exponential function. if we assume a ≥ 1 and 0 < r < 1
then, graph is decreasing but if r ≥ 1 then graph is increasing as shown in figure.
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the answer is 1 hope it helps.
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