Match the terms of this geometric sequence with their term numbers. 5, 10, 20, 40, 80, 160, ...
Boxes: [12th term] [nth term] [2nd term] [4th term] [(n-1)th term] [6th term]
Terms to be put in boxes: 5*2^4-1, 5*2^2-1, 5*2^12-1, 5*2^n-2, 5*2^6-1

12th term:

nth term:

2nd term:

4th term:

(n-1)th term:

6th term:

Step-by-step explanation:

The first term of GP, a = 5

Common ratio, r = 2

Formula for term of a GP,  .

Putting the values of a and r. So, term is:

term is:

Put n = 12 in (1):

2nd term is : (Put n = 2 in (1))

4th term is: (Put n = 4 in (1))

(n-1)th term is, put value of n as (n-1) in equation 1:

6th term is:  (Put n = 6 in (1))

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.