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प्रश्न
State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......
उत्तर
3, 6, 12, 24....
Let , 'a' be the first term of the given sequence and 'd' be the common difference.
Also, t2 , t3 , t4 be the 2nd ,3rd ,4th terms respectively.
Consider,
t2 - a = 6 - 3 = 3
t3 - t2 = 12 - 6 = 6
Here, we can see that difference between two successive terms is not constant. Hence, it is not an Arithmetic Progression
संबंधित प्रश्न
Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 installments, each installment being less than the preceding installment by Rs. 10. What should be the first and the last installments?
If k, 2k- 1 and 2k + 1 are three consecutive terms of an A.P., the value of k is
(A) 2
(B) 3
(C) -3
(D) 5
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If the mth term of an A.P. be `1/n` and nth term be `1/m`, then show that its (mn)th term is 1.
If the pth term of an A.P. is q and the qth term is p, prove that its nth term is (p + q – n)
For the following A.Ps, write the first term and the common difference.
0.6, 1.7, 2.8, 3.9
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
-1.2, -3.2, -5.2, -7.2 …
What is the common difference of an A.P. in which a21 – a7 = 84?
Which of the following sequences are arithmetic progressions . For those which are arithmetic progressions, find out the common difference.
`1/2, 1/4, 1/6, 1/8 ......`
Find the 10th term of the A.P. −40, −15, 10, 35, ...
Is −150 a term of the A.P. 11, 8, 5, 2, ...?
The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.
Find n if the given value of x is the nth term of the given A.P.
−1, −3, −5, −7, ...; x = −151
Find the arithmetic progression whose third term is 16 and the seventh term exceeds its fifth term by 12.
How many three digit numbers are divisible by 7?
Two A.P.’s have the same common difference. The first term of one A.P. is 2 and that of the other is 7. Show that the difference between their 10th terms is the same as the difference between their 21st terms, which is the same as the difference between any two corresponding terms.
One person borrows ₹ 4,000 and agrees to repay with a total interest of ₹ 500 in 10 instalments. Each instalment being less than the preceding instalment by ₹ 10. What should be the first and the last instalments?
Choose the correct alternative answer for the following sub question.
In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______
Which term of following A.P. is −940.
50, 40, 30, 20 ........
Activity :- Here a = `square`, d = `square`, tn = −940
According to formula, tn = a + (n − 1)d
−940 = `square`
n = `square`
In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.
The fee charged every month by a school from Classes I to XII, when the monthly fee for Class I is Rs 250, and it increases by Rs 50 for the next higher class.
