Enter a recursive rule for the geometric sequence. 2, 6, 18, 54, … a1= ; an=

Step-by-step explanation:

Given a geometric sequence.

2, 6, 18, 54, …

We have to find the I and nth term.

A geometric sequence. is one where each term is multiplied by a constant value to get the next term.

In our sequence, we find the pattern as each term is multiplied by 3 to get successive terms.

Hence common ratio r = 3

First term = a = 2

For Geometric sequence nth term = a_n = ar^(n-1)

Hence we get a_1 = 2

and a_n =  2(3)^(n-1)

By substituting for n any natural number we can get that term.

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)

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13