Given:A1 = 2An = 87Sn = 801
First, find the common difference, d:
An = A1 + (n-1)d87 = 2 + (n-1)d85 = (n-1)d
Next, find the number of terms, n, using the sum formula:
Sn = n/2 (A1 + An)801 = n/2 (2 + 87)801 = n/2 * 89n/2 = 801/89n = 18
Now substitute n = 18 into the equation 85 = (n-1)d to find d:
85 = (18-1)d85 = 17dd = 85/17d = 5
Therefore, the common difference, d, is 5 and the number of terms, n, is 18.
Given:
A1 = 2
An = 87
Sn = 801
First, find the common difference, d:
An = A1 + (n-1)d
87 = 2 + (n-1)d
85 = (n-1)d
Next, find the number of terms, n, using the sum formula:
Sn = n/2 (A1 + An)
801 = n/2 (2 + 87)
801 = n/2 * 89
n/2 = 801/89
n = 18
Now substitute n = 18 into the equation 85 = (n-1)d to find d:
85 = (18-1)d
85 = 17d
d = 85/17
d = 5
Therefore, the common difference, d, is 5 and the number of terms, n, is 18.