Find the 20 th term in the arithmetic sequence -4, 1, 6, 11, 16,….
Tn =a + (n-1) d
a =-4
d = 5
so
T20 = -4 +19*5 = -4 + 95 = 91
the answer would be 91 i think
Thank you for the answer!
4,-1,-6.... 20 term
To find the 20th term in an arithmetic sequence, you need to know the first term and the common difference.
In this case, the first term is -4, and to find the common difference, we can subtract any two consecutive terms. For example, subtracting the second term (1) from the first term (-4) gives us a common difference of 5.
Now that we have the first term (-4) and the common difference (5), we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
Substituting the values we have:
20th term = -4 + (20 - 1) * 5
Simplifying further:
20th term = -4 + (19) * 5
20th term = -4 + 95
20th term = 91
Therefore, the 20th term in the arithmetic sequence -4, 1, 6, 11, 16, … is 91.