Question

Algebraic from of an arithmetic sequence is 3n-2. a) what is the common difference? b) write the sequence. c) what is the first three digit term of the sequence?​

Answer 1

Explanation:

Given, arithmetic sequence X

n

=5n+3

a. The first term of the sequence, put n=1

X

1

=5×1+3=8

b. d=5 (coefficient of n be the common difference)

The remainder divide by 5=3.

(

5

8

=3,

5

13

=3,

5

18

=3,etc)

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Answer 2

Answer:

a(n) = 3n-2

a(1) = 3(1) -2 = 3-2 = 1

a(2) = 3(2) -2 = 6-2 = 4

a(3) = 3(3) -2 = 9-2 = 7

a(4) = 3(4) -2 = 12-2 = 10

Sequence.. 1, 4, 7, 10,. A. P.

a) Common difference:-

d => t2-t1 = t3-t2

d = 4-1 = 7-4 = 3

d = 3

b) Sequence:-

1, 4, 7, 10,. A. P.

c) The first three digit term of the

sequencee:-

a1 = 1; a2 = 4; a3 = 7