Find a1, d, and the Explicit Rule for this arithmetic sequence: -3, 4, 11, 18, 25, ...
1.)a1 =-3, d=-7, an = -7n - 3
2.)a1 =-3, d = 7, an = 7n - 10
3.)21 = -3, d =-7, an = -7n - 10
4.)a1 = -3, d = 7, an = 7n - 3

2.)a1 =-3, d = 7, an = 7n - 10

Step-by-step explanation:

In an arithmetic sequence, consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

an = a1 + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a1 = - 3

d = 4 - - 3 = 11 - 4 = 18 - 11 = 25 - 18 = 7

Therefore, the Explicit Rule for this arithmetic sequence is

an = - 3 + 7(n - 1)

an = - 3 + 7n - 7

an = 7n - 7 - 3

an = 7n - 10

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step-by-step explanation:

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