CBSE Class 10-Mathematics: Chapter – 5 Arithmetic Progressions Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)
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3 Mark Questions
Question 1:
Write first four terms of the AP, when the first term and common difference d are given as follows:
(i)
(ii)
(iii)
(iv)
(v)
Answer:
(i) First term
Second term
Third term second term
Fourth term third term
Therefore, first four terms are:
(ii) First term
Second term
Third term second term
Fourth term third term
Therefore, first four terms are:
(iii) First term
Second term
Third term second term
Fourth term third term
Therefore, first four terms are:
(iv) First term
Second term
Third term second term
Fourth term third term
Therefore, first four terms are:
(v) First term
Second term
Third term
Fourth term
Therefore, first four terms are:
Question 2:
Find the 31st term of an AP whose 11th term is and 16th term is .
Answer:
Here and
Using formula , to find term of arithmetic progression,
And
And
These are equations consisting of two variables.
We have,
Let us put value of a in equation ,
Therefore, Common difference
Putting value of d in equation ,
Therefore, common difference and First term
Using formula , to find term of arithmetic progression,
Therefore, term of AP is .