The first term of an arithmetic sequence is -22. The common difference of the sequence is 5.

What is the sum of the first 30 terms of the sequence?

the sum of the first 30 terms of the sequence is 1515

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 30

a = - 22

d = 5

Therefore, the sum of the first 30 terms, S30 would be

S30 = 30/2[2 × - 22 + (30 - 1)5]

S30 = 15[- 44 + 145)

S30 = 15 × 101 = 1515

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

the answer is mp

step-by-step explanation: