Advertisements
Advertisements
प्रश्न
In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers
The amount of money in the account of Varun at the end of every year when Rs 1000 is deposited at simple interest of 10% per annum.
उत्तर
Simple interest = `("Principal" xx "Rate" xx "Time")/100`
= `(1000 xx 10 xx 1)/100`
= 100
So, the amount of money in the account of varun at the end of every year is
1000, (1000 + 100 × 1), (1000 + 100 × 2), (1000 + 100 × 3),...
i.e., 1000, 1100, 1200, 1300,...
Which form an AP, with common difference (d) = 1100 – 1000 = 100
APPEARS IN
संबंधित प्रश्न
If m times mth term of an A.P. is equal to n times its nth term, show that the (m + n) term of the A.P. is zero
If the 10th term of an A.P. is 52 and the 17th term is 20 more than the 13th term, find the A.P.
If `S_5 = 15` and `S_6 = 21`, Find `t_6`.
Check whether the following sequence is in A.P.
1, –1, 1, –1, 1, –1, …
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.
Choose the correct alternative answer for the following sub question
Find d of an A.P. whose first two terms are – 3 and 4
Find d if t9 = 23 व a = 7
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`
The next term of the sequence `1/(1+sqrtx), 1/(1-x), 1/(1-sqrtx)` is (x ≠ 1).
The next term of the A.P. : `sqrt(6), sqrt(24), sqrt(54)` is ______.
