Find three consecutive numbers whose sum is 84
1 answer:
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Answer is on a picture
Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.
You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:
ft.
Answer: the height of the statue is 2.0565 ft.
We are given
sequence is 2 , 4 , 8 ,16 , 32 , .....
Firstly , we will check whether it is geometric sequence
Checking geometric sequence:
We will find common ratio between successive terms
and then we check whether they are equal
r1=(second term)/(first term)
r2=(third term)/(second term)
r3=(fourth term)/(third term)
r4=(fifth term)/(fourth term)
we can see that all four ratios are same
so, this is geometric sequence
Calculation of general term:
We got
common ratio is
Let's assume
number of terms is n
first term is 2
now, we can use formula
we can plug values
and we get
..................Answer