Question

The sequence 2, 3, 5, 6, 7, 10, … consists of

Answer 1

The 76th term is 86.

What is sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

Given:

2, 3, 5, 6, 7, 10, …

The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.

We can as well sum the number of squares and cubes in the range with the number of the required term i.e

Number of squares = 8 ( 4,9,16,25,36,49,64,81)

Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)

Required term = 75

So, 8+2+75 = 85.

Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.

Learn more about sequence here:

brainly.com/question/16614966

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