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defon
2 years ago
11

Consider the arithmetic sequence 13, 24, 35, ....

Mathematics
1 answer:
Nostrana [21]2 years ago
4 0

Answer:  27

Step-by-step explanation:

The given sequence : 13, 24, 35, ....

Here, first term : a= 13

Common difference: d=24-13 =11

The nth term of arithmetic sequence is given by :-

a_n=a+(n-1)d

It is given that the nth term is 299, so put a_n=299, a=13 ; d=11

299=13+(n-1)11

Subtract 13 from both sides , we get

286=(n-1)11

Divide both sides by 11, we get

26=n-1

Add 1 on both sides , we get

n=27

Hence, the value of n= 27

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