Arithmetic progression Quiz 1

Question 1

In the arithmetic progression $${{a}_{1}},{{a}_{2}},{{a}_{3}}...{{a}_{n}}$$, the ratio of $${{a}_{2}}$$ and $${{a}_{6}}$$ is $$\dfrac{2}{5}$$ and $${{a}_{8}}$$ is 26, find $${{a}_{10}}$$.

Accepted Answer

32

Answer

44

Answer

38

Answer

47

Question 2

If $${{a}_{n}}$$ is 116 more than the 8th term of the arithmetic progression 4, 14, 24,…, find the value of $$n$$.

Accepted Answer

20

Answer

24

Answer

26

Answer

21

Question 3

The arithmetic mean of the series $$5, 11, 17, …….., 155$$ is:

Accepted Answer

80

Answer

75

Answer

85

Answer

79

Question 4

The sum of the fifth and fifteenth term of an AP is 50. The sum of first 19 terms of the AP is:

Accepted Answer

475

Answer

450

Answer

525

Answer

500

Question 5

In the arithmetic progression $${{a}_{1}},{{a}_{2}},{{a}_{3}}...{{a}_{n}}$$, the sum of $${{a}_{4}}$$ and $${{a}_{8}}$$ 24 and $${{a}_{6}}$$ and $${{a}_{10}}$$ is 34. Find $${{a}_{1}}$$ and the common difference of the arithmetic progression.

Accepted Answer

$$a=-\dfrac{1}{2},d=\dfrac{5}{2}$$

Answer

$$a=\dfrac{1}{2},d=\dfrac{5}{2}$$

Answer

$$a=-\dfrac{1}{2},d=-\dfrac{5}{2}$$

Answer

$$a=1,d=\dfrac{5}{2}$$