Class 10 Exam > Class 10 Notes > Lab Manuals for Class 10 > Viva Voce: Arithmetic Progression I
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Q.1. Is the sequence of odd natural numbers an AP?
Yes
Q.2. Are the numbers 2, 4, 7, 10, 11 in AP?
No
Q.3. What is the formula for nth term of an AP?
Tn =a+(n—1)d,
where a → first term.
d → common difference.
n → place of the term.
Q.4. Find k, so that 15, k, -1 are in an AP.
k =7
Q.5. What is common difference for an AP?
The difference between a term and its predecessor is called the common difference in an AP.
Q.6. What does In-In-1 , represent for an AP, where In and In-1 represents consecutive terms of an AP?
Common difference
Q.7. What is the common difference of a sequence of multiples of 4?
4
Q.8. Find next two terms of -11, -8, -5, -2.
1, 4
Q.9. Which term of the arithmetic progression 5, 15, 25, ----- will be 130 more than its 31st term?
Let nth term be 130 more than the 31st term of the A.P.
First term of A.P. = 5
Common difference = 15 - 5 = 10
an = 130 + a31
5 + (n - 1) X 10 = 130 + 5 + (31 - 1) X 10
10 (n - 1) = 430
n = 44
Thus, 44th term of the A.P is 130 more than the 31st term.
Q.10. What is Arithmetic Progression in Maths?
A sequence of numbers that has a common difference between any two consecutive numbers is called an arithmetic progression (A.P.). The example of A.P. is 3,6,9,12,15,18,21, …
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