CT 33: Arithmetic & Geometric Progression – IV

1.The series given by 1 × 5, 2 × 5², 3 × 5³,..... is a ______ series?

2. Sum of n terms of the series

√2+√8+√18+√32−−.is

3. Find the value of 1³ + 2³ + 3³ +..... upto 8 terms -

4. Complete the series starting with the given number, following the sequence of the original series. What will come in the place of (ii) ?

103, 51, 25, 12, 5.5

67, (i), (ii), (iii), (iv)

5. The sum of 1 - 1 + 1 - 1 + 1 - 1... to even number of terms is ____.

6. If 12+22+32+...+n2=, find the value of 5²+6²+7²+....+10².

7. 1/1×2+1/2×3+.......1/n(n+1)=49/50,  Find the value of n(n - 1)?

8. If 12 + 22 + 32 + ....... + 102 = 385 then 32 + 62 + 92 + ........ + 302 is equal to

9. The term in the below sequence increases by the same amount each time. Find the first term.

10. The value of 50 - 1² + 2² + 3² + ... + 10² is