Use the recursive function for the geometric sequence 2,-6,18 and -54 to represent the 9th term
f(9)=f(8)•(-3)
f(9)=f(1)•(-3)^8
f(9)=f(1)+3(8)
f(9)=f(8)+3(8)

The first option is correct.

The following information should be considered:

Now

So,

the 9th term can be found using

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A

Step-by-step explanation:

A recursive formula allows the term in a sequence to be obtained from the previous term.

To find any term in the sequence multiply the previous term by the common ratio r

r = - 6 ÷ 2 = 18 ÷ - 6 = - 3

Thus the 9 th term can be found using

f(9) = f(8) × - 3 = - 3f(8) → A

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47