Respuesta :

Answer:

→402 is not a term in the given sequence.

Step-by-step explanation:

Given sequence is 8,13,18,23,...

First term = 8

Common difference = 13-8= 5

⇛18-13=5

⇛23-18=5

Since the common difference is same throughout the sequence

⇛8,13,18,23,... are in the AP.

Let nth term = 402

We know that

nth term of an AP = an = a+(n-1)d

Now,

an = 402

⇛8+(n-1)(5) = 402

⇛8+5n-5 = 402

⇛5n+3 = 402

⇛5n = 402-3

⇛5n = 399

⇛n = 399/5

n can not be rational number it should be a positive integer.

402 is not a term in the given sequence.

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