Class 10 Mathematics Chapter 5 Arithmetic Progression AP Multiple Choice Questins Quiz / MCQ Quiz online test base on NCERT useful for NTSE Maths Olympiad Board Exam Important Questions.
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1. $30^{\text {th }}$ term of the A.P. $10,7,4, \ldots . .$. is:
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2. If the third term of an A.P. is 12 and $10^{\text {th }}$ term is 26 , then its $20^{\text {th }}$ term is:
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3. If $3^{\text {rd }}$ term of an A.P. is 4 and $9^{\text {th }}$ term is -8 , then its common difference is:
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4. $10^{\text {th }}$ term of an A.P. : $2,7,12, \ldots .$. is:
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5. Which one is an A.P. series?
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6. The common difference of A.P.: $-5,-1,3,7, \ldots .$. is:
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7. $15^{\text {th }}$ term of the A.P. $5,6 \frac{1}{2}, 8,9 \frac{1}{2}, \ldots . .$. is:
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8. The common difference of A.P. $3,1,-1,-3, \ldots .$. is:
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9. The $10^{\text {th }}$ term of the A.P.: $-0.1,-0.2,-0.3, \ldots . .$. is:
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10. $15^{\text {th }}$ term of A.P. $\frac{1}{3}, \frac{5}{3}, \frac{9}{3}, \frac{13}{3}, \ldots . .$. is:
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11. In an A.P.: $-10,-6,-2,2, \ldots \ldots . ., 20^{\text {th }}$ term is:
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12. The common difference of an A.P.: 0.6, 1.7, 2.8, 3.9 _ is:
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13. The $11^{\text {th }}$ term of the A.P. $13,15 \frac{1}{2}, 18,20 \frac{1}{2}, \ldots .$. is:
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14. $12^{\text {th }}$ term of the A.P.: $7,10,13,16, \ldots .$. is:
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15. If $11^{\text {th }}$ term of an A.P. is 38 and $16^{\text {th }}$ term is 73 , then its first term is:
1. Arithmetic Progression:An arithmetic progression (AP) is a list of numbers in which each term is obtained by adding a fixed number $d$ to the preceding term, except the first term. The fixed number $d$ is called the common difference. 2.General Form of an AP:The general form of an AP is $a, a+d, a+2 d, a+3 d, \ldots$ 3.. A given list of numbers $a_{1}, a_{2}, a_{3}, \ldots$ is an AP if the differences $a_{2}-a_{1}, a_{3}-a_{2}$, $a_{4}-a_{3}, \ldots$, give the same value, i.e., if $a_{k+1}-a_{k}$ is the same for different values of $k$. 4. General Term of an APIn an AP with first term $a$ and common difference $d$, the $n$th term (or the general term) is given by $a_{n}=a+(n-1) d$. 5. The sum of the first $n$ terms of an AP : $$ \mathrm{S}=\frac{n}{2}[2 a+(n-1) d] $$ 6. If $l$ is the last term of the finite AP, say the $n$th term, then the sum of all terms of the AP is given by : $$ \mathrm{S}=\frac{n}{2}(a+l) $$