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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?



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

Answer:

Formula for nth term in Arithmetic sequences is:

[tex]a_n =a+(n-1)d[/tex]

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

[tex]a= 7[/tex]

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, .........[tex]a_8[/tex]

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

[tex]a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35[/tex]

Therefore, 35 number should Jenna say.

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