Answer :
The 16th term of the arithmetic progression (AP) is approximately 196.35 (rounded to 198).
The option (A) is correct .
Now,
To find the 16th term of the arithmetic progression (AP), we can use the formula:
nth term = a + (n-1)d
Where a is the first term, d is the common difference, and n is the number of terms.
In this case, the first term (a) is 6, the last term is 171, and there are 14 terms in total.
We can calculate the common difference (d) using the formula:-
d = (last term - first term) / (n - 1)
Substituting the values:-
d = (171 - 6) / (14 - 1) = 165 / 13 = 12.69 (approximately)
Now, we can calculate the 16th term using the formula:-
16th term = 6 + (16 - 1) * 12.69
Simplifying:-
16th term = 6 + 15 * 12.69 = 6 + 190.35 = 196.35
Therefore, the 16th term of the AP is approximately 196.35, which rounds to 198.
Learn more about Arithmetic Progression (AP) here:
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