Question

In a line of students, Jenna is number 8.The teacher says that a rule for a number pattern is add 4. The first student inline says the first term, 7. What number should Jenna say?

Answer 1

7 , 11 , 15,19,23,27,31,35. Jenna should say 35.

Answer 2

Formula for nth term in Arithmetic sequences is:

`a_n =a+(n-1)d`

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

`a= 7`

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, .........
`a_8`

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

`a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35`

Therefore, 35 number should Jenna say.