Series basics Quiz 1

Question 1

What is the ratio of the sum of numbers $$1-50$$ to that sum of numbers from $$1-100$$

Accepted Answer

$$51:202$$

Answer

$$1:4$$

Answer

$$4:1$$

Answer

$$51:101$$

Question 2

Find the largest 2-digit number in the series with the first term as 13 and the common ratio is $$\dfrac{3}{2}$$.

Accepted Answer

99

Answer

96

Answer

97

Answer

98

Question 3

Find the difference between the 13th and the 5th term of A.P and G.P, such that A.P. has the first term as 11 and the common difference is $$3$$ and G.P. has first term as 9 and common ratio is $$1\dfrac{1}{2}$$

Accepted Answer

1.4

Answer

9

Answer

2.7

Answer

3.6

Question 4

If $$y=1-x+{{x}^{2}}-{{x}^{3}}...$$ and $$x=1-z+{{z}^{2}}-{{z}^{3}}...$$. Then find a relation between $$y$$ and $$z$$:

Accepted Answer

$$yz+1=z$$

Answer

$$yz-1=z$$

Answer

$$yz=1-z$$

Answer

none of the above

Question 5

What is the difference in the number of terms between the A.P. sequences which are $$7,16,25,...,106$$ and $$7,12,17,...,57$$?

Accepted Answer

$$1$$

Answer

$$2$$

Answer

$$3$$

Answer

$$4$$