Question

Which sequence follows the rule 2n + 6, where n represents the position of a term in a sequence? 6, 8, 12, 18, . . . 6, 12, 18, 24, . . . 8, 14, 20, 26, . . . 8, 10, 12, 14, . . .

Answer 1

ANSWER

8, 10, 12, 14, . . .

EXPLANATION

The given rule for the sequence is :

f(n)=2n+6

The domain for a sequence is the set of natural numbers.

When n=1,

f(1)=2(1)+6=8

When n=2,

f(2)=2(2)+6=10

When n=3,

f(3)=2(3)+6=12

When n=4,

f(4)=2(4)+6=14

Therefore the sequence that follows the given rule is

8, 10, 12, 14, . . .

Answer 2

The given sequence follows the rule 8,10,12,14....and so on.

The rule of the given sequence is 2n+6

What is a sequence?

A sequence is an algebraic expression that follows a certain pattern, making a list of terms.

Let us put n=1 in given rule 2n+6

First term = 2*1+6 = 8

Put n=2

Second term = 2*2+6 =10

Put n=3

Third term = 2*3+6 =12

Put n=4

Fourth term = 2*4+6 = 14

Therefore, the given sequence follows the pattern 8,10,12,14.....

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