Write down in terms of n, an expression for the Nth term of the following sequences. A) 2,5,8,11,14
B) 9,11,13,15,17

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A

There is a common difference d between consecutive terms , that is

d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

Thus the sequence is arithmetic with a₁ = 2 and d = 3, then

= 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

= 3n - 1

B

There is a common difference d between consecutive terms , that is

d = 11 - 9 = 13 - 11 = 15 - 13 = 17 - 15 = 2

Thus the sequence is arithmetic with a₁ = 9 and d = 2 , then

= 9 + 2(n - 1) = 9 + 2n - 2 = 2n + 7

= 2n + 7

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: