<u>Hint </u><u>:</u><u>-</u>
- Break the given sequence into two parts .
- Notice the terms at gap of one term beginning from the first term .They are like . Next term is obtained by multiplying half to the previous term .
- Notice the terms beginning from 2nd term , . Next term is obtained by adding 3 to the previous term .
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,
.
We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,
Notice the term will be too small , so we can neglect it and take its approximation as 0 .
Now the second sequence is in Arithmetic Progression , with common difference = 3 .
Substitute ,
Hence sum = 908 + 1 = 909
Answer:
7.5 m
Step-by-step explanation:
circumference = 360/72 × 3π = 15π
so the radius of the circle =
15π / 2π = 7.5 m
Volume of sphere is
V=4/3pi r^3
Where r is 2 in this example so,
V= 10.67 pi
V= 33.51
Step-by-step explanation:
I don't know if the first set of numbers is all in one set, but I'll do my best to give you an answer.
Really all you need to do is use PEMDAS for the first question.
(Parentheses, exponents, multiply, divide, add, subtract. In that order)
Then to simplify that fraction next to it, notice that 0.018 is 3x 0.06.
that's a 3:1 ratio, so it ends up simplifying to this:
Lastly, to solve the division of that fraction. If you divide by a fraction, you multiply whatever it's dividing by its inverse.
So...
Answer:
Exercise 1 : a. 4 ; b. -4
Exercise 2 : a. +7 positive/right ; b. -7 ; c. -7 negative/left
Step-by-step explanation: