Quiz about Arithmetic Sequence Sum and Finding

Question 1

Given the AP 4, p, q, r, ... with a common difference of -2, determine the value of r.

Accepted Answer

r = -2

Answer

r = 0

Answer

r = 1

Answer

r = -4

Question 2

Given the AP 18, x, ... , -12, -14, determine the value of x.

Accepted Answer

x = 16

Answer

x = 17

Answer

x = 14

Answer

x = 12

Question 3

Given the AP 5, 8, 11, ... , which term has the value of 272?

Accepted Answer

90

Answer

88

Answer

89

Answer

91

Question 4

$$10^{th}$$ term of the AP y, y + 2, y + 4 , ... is 16, find the value of y.

Accepted Answer

-2

Answer

-4

Answer

0

Answer

2

Question 5

The 7^th term of an AP is 3 times the 2^nd term, find a relation between a and d.

Accepted Answer

$$a=\frac{3}{2}d$$

Answer

$$a=\frac{2}{3}d$$

Answer

$$a=\frac{1}{2}d$$

Answer

$$a=3d$$

Question 6

Which of the following are the formulae for finding the sum of the first n terms of an AP

Accepted Answer

$$S_n=\frac{n}{2}\left[2a+\left(n-1\right)d\right]$$

Accepted Answer

$$S_n=\frac{n}{2}\left[a+L\right]$$

Answer

$$T_n=\frac{n}{2}\left[a+L\right]$$

Answer

$$T_n=S_n-S_{n-1}$$

Question 7

What is the least number of terms of the AP $$3,rac{7}{2},4,...$$ to be added to obtain a total greater than 40?

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 8

A sequence or list of numbers is such that the difference between a given term and the previous term is constant. That is, $$a_2-a_1=d$$ , $$a_3-a_2=d$$ , and $$a_n-a_{\left(n-1 ight)}=d$$ This type of sequence which can be written as follows is called a(n):

$$a_1,\ a_1+d,\ a_1+2d,\ a_1+3d,...,\ a_1+\left(n-1 ight)d$$

Accepted Answer

arithmetic sequence

Answer

geometric sequence

Answer

neither arithmetic nor geometric sequence

Answer

constant sequence

Question 9

Given the sum of an arithmetic series is , find the sum of the first $$20$$ terms of the series $$-20, -14, -8, -2, 4,...$$ Hint: You're being asked to find , so $$n$$ is $$20$$ . The first term $$a_1$$ is given, but we need to find prior to using the above sum formula. Useto find first.

Accepted Answer

$$S_{20}=740$$

Answer

$$S_{20}=-1540$$

Answer

$$S_{20}=1480$$

Answer

$$S_{20}=94$$

Question 10

When the common difference of an arithmetic sequence is positive, will the 2nd term be greater than or less than the 1st term?

Accepted Answer

the 2nd term will be greater than the 1st term

Answer

the 2nd term will be less than the 1st term

Answer

the 2nd term will be equal to the 1st term

Answer

insufficient information without knowing the specific value of the 1st term

Arithmetic Sequence Sum and Finding

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