Answer: 4030
Step-by-step explanation:
We know that sum of an arithmetic series with first term as 'a' and the last term as 'l' is given by :-
, where n is the number of terms
In the given situation, the number of terms = 52
The first term = 1
The 52th term = 154
Then the sum of 52 terms ids given by :-
Hence, the sum of the series =4030
I suppose the claim is for
.
When , we have
, and of course 5 divides 5.
Assume the claim holds for , that
. We want to use this to show it holds for
, that
.
We have
Since , we can write
for some integer
. Then
which is clearly divisible by 5. QED
Answer:
Step-by-step explanation:
we know that
The equation of a exponential function is of the form
where
a is the initial value or y-intercept
b is the base of the exponential function
In this problem we have
----> the y-intercept is given
substitute
we have the other ordered pair (1,10)
substitute the value of x and the value of y and solve for b
substitute
see the attached figure to better understand the problem
