# Test: Arithmetic Series I - Normal

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Question 1:   The initial term of an arithmetic progression is  ${a}_{1}=3$  and difference  $d=0.3$ .  Find  ${a}_{11}$ .
$6.3$
$6$
$0$
$5.7$
Question 2:   Arithmetic progression is given by formula  ${a}_{n}=10-n$  .  Find  ${a}_{4}$ .
$6$
$14$
$2,5$
$5$
Question 3:   Find the difference  $d$  of an arithmetic series if  ${a}_{1}=6,\text{\hspace{0.17em}}\text{\hspace{0.17em}}{a}_{8}=-50$ .
$-8$
$8$
$-7$
$7$
Question 4:   Find the initial term of an arithmetic series  $\left({a}_{n}\right)$ ,  if  ${a}_{15}=20$  and the common difference  $d=0.5$ .
$-13$
$12.5$
$12.5$
$13$
Question 5:   Find the formula of the nth term of an arithmetic series  $\left({a}_{n}\right)$ :  $-3,\text{\hspace{0.17em}}-5,\text{\hspace{0.17em}}-7,\text{\hspace{0.17em}}-9\text{\hspace{0.17em}}...$  (-3 is the initial term).
${a}_{n}=-2n-1$
${a}_{n}=-2n-5$
${a}_{n}=2n-5$
${a}_{n}=5-2n$
Question 6:   Find the second term of the arithmetic sequence  $\left({a}_{n}\right)$  if first and third ones are  $-8$  and  $14$  respectively.
$3$
$-3$
$\frac{1}{3}$
$-11$
Question 7:   What is the sum of the first six terms of an arithmetic sequence  $\left({a}_{n}\right)$  if  ${a}_{1}=8,\text{\hspace{0.17em}}\text{\hspace{0.17em}}{a}_{7}=18$ ?
$156$
$-30$
$54$
$78$
Question 8:   Find the sum of the first  $10$  terms if an arithmetic sequence  $\left({a}_{n}\right)$  if  ${a}_{1}=-3$  and difference  $d=4$ .
$15$
$150$
$170$
$165$
Question 9:   Find the sum of the first twenty terms of an arithmetic series  $\left({a}_{n}\right)$ : $-4,\text{\hspace{0.17em}}-2,\text{\hspace{0.17em}}0...$  (-4 is the initial term).
$150$
$225$
$-460$
$300$
Question 10:   The arithmetic series  $\left({a}_{n}\right)$  is given by formula of the nth term  ${a}_{n}=4n-1$ .  Find the sum of the first eighteen terms.
$-612$
$639$
$666$
$1332$