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Find the 11th term of the geometric sequence 1,4,16

Find the 11th term of the geometric sequence 1,4,16

The 11th term of thegeometric sequence1, 4, 16,... is 4¹⁰.A sequence is a grouping of objects in a particular order that permits repetitions. It has members, just like a set does. The length of the sequence is determined by the number of items.Consider thegeometric sequences1, 4, 16......For ageometric sequencea, ar, ar²,.....Where a is the first term, and r is the common ratio of the sequence.Then for the sequence 1, 4, 16,...a = 1 and r = 4The nth term of ageometric sequenceis given as:aₙ = ar⁽ ⁿ ⁻ ¹⁾Therefore, the 11th term of the sequence will be:a₁₁ = 1 × r¹¹ ⁻ ¹a₁₁ = (4)¹⁰a₁₁ = 4¹⁰Hence, the 11th term of the sequence is 4¹⁰.Learn more aboutgeometric sequencehere:brainly.com/question/28041360#SPJ9...

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