The given sequence is {12.2, 10.5, 8.8} and we need to find the 33rd term.
From the given sequence, we can observe that the terms are decreasing by a common difference of 1.7.
The formula to find the nth term of an arithmetic sequence is:
a_n = a_1 + (n-1)d
where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference.
Given that a_1 = 12.2 and d = -1.7 (as it is a decreasing sequence),
we can substitute these values into the formula:
a_n = 12.2 + (33-1)(-1.7)
= 12.2 + 32(-1.7)
= 12.2 - 54.4
= -42.2
Therefore, the 33rd term of the sequence is -42.2.
{a_n}={12.2,10.5,8.8}
Calculate the 33rd term
1 answer