Answer:
The sum of the first six terms is
Step-by-step explanation:
Given series is 32-8+2-0.5+...
We may write
Let
Common ratio
Therefore the common ratio is
Therefore given sequence is of the form of Geometric sequence
The nth term of the geometric sequence is
First to find the 5th and 6th term
That is substitute n=5 and n=6 ,a=32 and in above equation we get
Therefore
Therefore
Therefore the sum of the first six terms is
Therefore the sum of the first six terms is
Answer:
10
Step-by-step explanation:
1 Subtract 150150 from both sides.
10x=200+5x-150
10x=200+5x−150
2 Simplify 200+5x-150200+5x−150 to 5x+505x+50.
10x=5x+50
10x=5x+50
3 Subtract 5x5x from both sides.
10x-5x=50
10x−5x=50
4 Simplify 10x-5x10x−5x to 5x5x.
5x=50
5x=50
5 Divide both sides by 55.
x=\frac{50}{5}
x=
5
50
6 Simplify \frac{50}{5}
5
50
to 1010.
x=10
x=10
Done
Answer:
y =1/3x+20
Step-by-step explanation:
He starts 20 minutes late so we need to add 20 minutes to the time
He travels 3 times faster so he takes 1/3 of the normal time x
y =1/3x+20
9514 1404 393
Answer:
₹ 30000
Step-by-step explanation:
The simple interest formula is ...
I = Prt . . . . . . principal P invested at rate r for t years
Fill in the values you know, and solve for the one you don't know.
9000 = P(0.06)(5)
9000/0.30 = P = 30000
The principal that will give ₹9000 in interest is ₹30000.
Answer:
18
Step-by-step explanation: