Question

Is the sequence "7, 17, 27, 37..." arithmetic? If so, what is the formula?
A. A(n)=A(n-1)+40;A(1)=7
B.A(n)=A(n-1)-10;A(1)=7
C.A(n)=A(n-1)+10;A(1)=7

Answer 1

Answer:

C. A(n)=A(n-1)+10;A(1)=7

Step-by-step explanation:

Sequence

"7, 17, 27, 37..."  

Common difference:

17-7=27-17=37-27=10, yes it is AP

Formula:

A(n)=A(n-1)+10 : A(1)=7

Correct option is C.

Answer 2

Answer:

C) A(n)=A(n-1)+10;A(1)=7

Step-by-step explanation:

Given: sequence = 7, 17, 27, 37, ...

To find: formula used

Formula used:  $a_{n} = a_{1} - (n-1)d$

Solution:

calculating common difference, d

d =  $a_{n+1} - a_{n}$

=> 17 - 7 = 10

By putting the values in the above formula

we get,

A(n) = A(n-1) + 10; A(1) =7

Hence, the formula of the given equation is A(n-1) + 10; A(1) =7. Ans

#SPJ3