1. Find 10ᵗʰ term and sum of initial 10 terms of series:
3, 10, 17, 24, ……………….
2. Find the 40ᵗʰ term and sum till 30ᵗʰ term of series:
32, 16, 8, 4, …………….
3. How many terms of the series -16, -11, -6, ……… must be taken that the sum may be 12.
4. How many terms are there in the series:
30, 35, 40, 45, ………….. , 875
5. A man gets Rs 100 on 1ˢᵗ april and Rs. 10 more each day than the preceding day. How much does he earn by the 18ᵗʰ may.
6. On 1ˢᵗ april a boy gets Rs. 1, on second day 2 rupees, on third day 4 rupees, on fourth day 8 rupees and so on till 18ᵗʰ may. How much will the boy get from 1ˢᵗ april to 18ᵗʰ may.
7. If the first term and last term of an aP are 93 and 407. If there are 12 terms in this series. Find the sum of the series.
8. The sum of an infinite GP whose common ratio is less than 1 is 32 and the sum of first two terms is 24. What will be the 5ᵗʰ term.
9. Find the value of \({a^{\frac{1}{3}}}.{a^{\frac{1}{9}}}.{a^{\frac{1}{{27}}}}………..\infty \)
10. There are 70 terms in an AP. Its 4ᵗʰ term and 67ᵗʰ term are 32 and 908 respectively. Find the sum of this AP.