Question

Algebra form of the sequence 10,17,24

Answer 1

Answer:

The arithmetic sequence 10, 17, 24.

Here, First term a=10

The common difference d=17-10=7

The nth term of the sequence is

an= a+(n-1)d

an=10+(n-1)7

an=10+7n-7

an=7n+3

Let x be a natural number and its square is the nth term,

x²=7n+3

x²-3=7n

n=x²-3/7

Now, for all integers from 0 to 30, n does not come out to be an integer.

Therefore, the arithmetic sequence 10, 17, 24… contains no perfect squares.

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

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