Write the first four terms of a sequence given the recursive rule below:
f(n) = 2 × f(n − 1) + 3 for all n > 2 and f(1) = 7

a) 7, 17, 37, 77
b) 7, 9, 11, 13
c) 7, 15, 31, 63
d)not enough information

The first four terms of the sequence is : A)   7, 17, 37, 77.

Step-by-step explanation:

The given function f(n) = 2 x  f(n − 1) + 3

Also, f(1)= 7

FOR n= 2

f(2) = 2 x f(2-1) + 3  = 2 x f(1)  + 3

      = (2 x 7) + 3 = 14 + 3 = 17

⇒f(2) = 17

FOR n= 3

f(3) = 2 x f(3-1) + 3  = 2 x f(2)  + 3

      = (2 x 17) + 3 = 34 + 3 = 37

⇒f(3) = 37

FOR n= 4

f(4) = 2 x f(4-1) + 3  = 2 x f(3)  + 3

      = (2 x 37) + 3 = 74 + 3 = 77

⇒f(4) =77

So, the first four terms of the sequence are 7, 17, 37, 77.

A) is the correct option.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

ou would have 12 of each