Examine the following sequence 1, 4, 9, 16, 25…. why is 36 the next number in the sequence? because the pattern is: a. add the next even number c. cube the number of the term, n b. square the number of the term, n d. add 2 + the number of the term, n select the best answer from the choices provided a

 The correct option is

(b) Square the number of the term, n.

Step-by-step explanation:  We are given to examine the following sequence :

1,   4,   9,   16,  25,   .   .   .

Also, we are to state the reason behind 36 being the next term in the sequence.

We see the following pattern in the terms of the given sequence :

Following the above pattern, we arrive at the n-th term of the sequence as follows :

Since we are to find the next, .i.e., the sixth term of the sequence, so

if n = 6, then

Thus, to get the n-th term, we square the number of the term.

The correct option is

(b) Square the number of the term, n.

probability for j is 1/4

while

a is 1/6