Question

Decide whether 301 is term of given sequence 5,11,17,23,....... therefore this sequence is an A.P. 8 Activity: Here, d a= 5, d= Let nth term of this A.P. be 301. tn = a+(n-1) 301 = 5+(n-1)× 301 = 6n-1 n = = 302 6 But n is not positive integer e sia all t OC 1 S a​

Answer 1

To determine whether 301 is a term of the given arithmetic sequence 5, 11, 17, 23, ..., we can use the formula for the nth term of an arithmetic progression (AP):

tn = a + (n - 1) * d

Here, a is the first term of the sequence (5), d is the common difference between consecutive terms (which is 6), and tn is the nth term we want to find (301).

Let's substitute these values into the formula:

301 = 5 + (n - 1) * 6

Now, let's simplify the equation:

301 = 5 + 6n - 6

Combine like terms:

301 = 6n - 1

s not a term of the given arithmetic sequence.

Please note that the given sequence is an arithmetic progression with a common difference of 6, but the term 301 does not fit into the sequence.

Explanation:

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