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

Answer:

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.