What is the 23rd term in the arithmetic sequence: 11, 14, 17, 20...?
All I need is the formula to find the it because I have to show work. Thanks.
so a = 11 and d = 3, so 23 = 11 + (23-1) 3.
The 23rd term is 77 because 11 + 22(3) = 77 =]
answer this
11 ,14,17,20
To find the 23rd term in an arithmetic sequence, you can use the formula for the nth term:
a_n = a_1 + (n - 1) * d
In this formula, a_n represents the nth term, a_1 represents the first term, n represents the position of the term in the sequence, and d represents the common difference between consecutive terms.
In the given arithmetic sequence, the first term (a_1) is 11 and the common difference (d) is 3, as each term is obtained by adding 3 to the previous term. Plugging these values into the formula, we have:
a_23 = 11 + (23 - 1) * 3
Now, we can simplify the expression:
a_23 = 11 + (22) * 3
= 11 + 66
= 77
Therefore, the 23rd term in the arithmetic sequence 11, 14, 17, 20... is equal to 77.
if a is the first term
and d is the common difference
then Term(n) = a + (n-1)d