Sequences Quiz 1

Question 1

Find the value of $$'x'$$ if the arithmetic mean of $$4x + 3$$ and $$2x + 5$$ is $$10$$.

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 2

A term $$12$$ more than the $$20th$$ term of the $$A.P$$ series $$3,9,15,21...$$ is

Accepted Answer

$$22^{nd}$$ term

Answer

$$19^{th}$$ term

Answer

$$20^{th}$$ term

Answer

$$21^{st}$$ term

Question 3

Find the terms $${a_2},{	ext{ }}{a_3},{	ext{ }}{a_4}$$ and $${a_5}$$ of a geometric sequence if $${a_1} = 10$$ and the common ratio r = 2.

Accepted Answer

20,40,80,160

Answer

2,4,6,8

Answer

10,20,30,40

Answer

40,80,120,160

Question 4

Calculate the ratio of $$9^{th}$$ terms of two $$A.P$$ if, the ratio of their $$n^{th}$$ term is $$\dfrac{{15n + 2}}{{4n + 3}}$$

Accepted Answer

$$\dfrac{{137}}{{39}}$$

Answer

$$\dfrac{{27}}{{15}}$$

Answer

$$\dfrac{{135}}{{28}}$$

Answer

$$\dfrac{{200}}{{175}}$$

Question 5

Evaluate the value of common difference $$\left( d \right)$$ of $$A.P$$ series $$log3,\log 6,log12,...$$

Accepted Answer

log 2

Answer

log 9

Answer

log 1

Answer

0