20) what is the closed linear form of the sequence 3,4,5,6,7,
a) a= 2n
b) a = 2-n
c) a=3+n
a, = 3-n

The closed linear form of sequence 3, 4, 5, 6, 7, .. is a = 3 + n

Option C

Solution:

Given Sequence is 3, 4, 5, 6, 7, ...

Let us the check the each option which can form the above sequence

a) a= 2n

We get a sequence 0, 2, 4 which does not satisfy the given sequence

b) a= 2-n

We get a sequence 2, 1, 0 which does not satisfy the given sequence

c) a= 3+n

For n = 0, a = 3 + 0  = 3

For n = 1, a = 3 + 1  = 4

For n = 2, a = 3 + 2 = 5

For n = 3 , a = 3 + 3 = 6

For n = 4, a = 3 + 4 = 7

Which satisfy the given sequence

Hence, c) is the correct option

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .