Find the 17term of the Arithmetic Progression (A.P):-6,-1,4
Answer Details
To find the 17th term of the arithmetic progression -6, -1, 4, we need to first find the common difference, d, between the terms:
d = -1 - (-6) = 5
Now we can use the formula for the nth term of an arithmetic progression:
a_n = a_1 + (n - 1) * d
where a_1 is the first term and n is the term we want to find.
Plugging in the values we have:
a_17 = -6 + (17 - 1) * 5
a_17 = -6 + 16 * 5
a_17 = -6 + 80
a_17 = 74
Therefore, the 17th term of the arithmetic progression is 74. Answer option (C) is correct.