10.03 Quiz: Geometric Sequences
here is the answers

Step-by-step explanation:

1).

  Since, recursive formula for a geometric sequence is given by,

  Here, r = common ratio

  Comparing both, value of r = 5

  Explicit formula of the sequence is given by,

  Therefore, explicit formula will be,

2). Given recursive formula is,

   By comparing this formula with the standard recursive formula for geometric sequence,

  Therefore, recursive formula for the sequence will be,

3). Let the explicit formula is,

    For 2 years of investment, , and n = 2

    550000 =

    r = 1.1

    Therefore, explicit formula will be.

    Option (3) is the answer.

4). Explicit formula for a geometric sequence is,

   Here = First term

   r = common ratio

   from the given sequence,

    = 9

   r =

   r =

   Explicit formula will be,

5). Recursive formula of a geometric sequence is given by,

    = First term of the sequence

   From the given sequence,

   r =

   Therefore, recursive formula will be,

    =

step-by-step explanation:

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)