Find the 37th term of the arithmetic sequence: -38,-8,22,52

1042

Step-by-step explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30     (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30      (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

7.3

step-by-step explanation: