In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1
is the first term and d is the common difference. similarly, in a geometric sequence, the nth term is given by an=a1•rn−1.
here r is the common ratio. use these formulas to determine the indicated term in the given sequence.
the 30th term of 1, 4, 7, 10

88

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term is given by the formula

Where

d=Common difference

In an geometric sequence, the nth term is given by

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

Hence, the 30th term of sequence is 88.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.