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Write the first five terms of the arithmetic sequence with the first term a1=7 and the common difference d=4

User Saj
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1 Answer

4 votes

Answer:

7, 11, 15, 19, 23

Explanation:

Since the common difference is 4 each successive term is 4 more than the previous term

If we let aₙ be the nth term,

a₁ = 7

a₂ = 7 + 4 = 11

a₃ = 11 + 4 = 15

a₄ = 15 + 4 = 19

a₅ = 19 + 4 =23

The first five terms are: 7, 11, 15, 19, 23

We can also use the generalized formula for the nth term:

aₙ = a₁ + d(n - 1)

where a₁ = first term

d = common difference

Plugging in the known values we get
aₙ = 7 + 4(n- 1)

aₙ = 7 + 4n - 4

aₙ = 3 + 4n

Substituting n = 1, 2, 3, 4, 5 into the above equation will yield the same values

Maybe your teacher prefers one of the above approach.

User Tonyc
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