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In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.
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The sequence is a geometric progression.Here, first term(a) = 1 and common multiple(r) = 4.nth term of G.P. is given by an = arn-1If we put n = 5, then a5 = 1x44 = 256.So next term in the sequence is 256.
A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio). 2,4,8,16, --> here the common ratio is 2.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.