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CBSE Class 10- Mathematics: Chapter β 5 Arithmetic Progressions Part 9
Question 7:
How many multiples of lie between and ?
Answer:
The odd numbers between and are
It is an arithmetic progression because the difference between consecutive terms is constant.
First term , Common difference ,
Last term
We do not know how many odd numbers are present between and .
Therefore, we need to find n first.
Using formula , to find nth term of arithmetic progression, we get
Applying formula, to find sum of n terms of AP, we get
Question 8:
Which term of the AP: is its first negative term?
Answer:
Given:
Here
Now,
For the first negative term,
is an integer and
Hence, the first negative term is term
Question 9:
The sum of the third and the seventh terms of an AP is and their product is . Find the sum of sixteen terms of the AP.
Answer:
Let the AP be
Then,
Also
Taking
Taking