Since the sequence is geometric, there is some constant

such that the sequence is recursively given by

By this definition, you can recursively substitute into the right hand side the definition for

to find an explicit formula for the

th term.

You know the second term, which means you can find

:

So, the 7th term of the sequence is
Answer:
Kate's electric bill will be $9 for this month for bulb use only.
Step-by-step explanation:
Given:
Electricity bill lass month from bulb use = $12
Using new bulbs percent decrease in electricity = 25%
We need to find this month electric bill for bulb use.
Solution:
First we will find the reduction in bill after using new bulbs.
reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.
framing in equation form we get;
reduction in bill after using new bulbs = 
Now we will find this month electric bill for bulb use only.
this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.
framing in equation form we get;
this month electric bill for bulb use only = 
Hence Kate's electric bill will be $9 for this month for bulb use only.
Answer:
y = 7x - 9
Step-by-step explanation:
y = mx+b
m = slope = 7
b = y-intercept = -9
No. The two lengths 5 and 5 add up to 10; you'd have two sides of length 5 each placed end to end, equaling 10. That'd be represented by segments on a straight line, not a triangle.
Hope you've drawn a picture, so as to understand this better. ;)
Answer:
80 persons haf fish and 152 persons had chicken
Step-by-step explanation:
Given data
let the number of persons that had fish be x and chicken be y
so
12x+9y=2544------------------1
x+y= 232------------------------2
from 2
x= 232-y
substitute the value of x in 1
12(232-y)+9y=2544
2784-12y+9y=2544
2784-3y=2544
3y= 2784-2544
3y=240
y= 240/3
y=80
put y= 80 in 2
x+80= 232
x= 232-80
x=152
Hence 80 persons haf fish and 152 persons had chicken