Advertisements
Advertisements
Question
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`
Solution
Here a = 50, d = 40 − 50 = −10, tn = −940
According to formula, tn = a + (n − 1)d
−940 = 50 + (n − 1)(−10)
∴ – 940 = 50 – 10n + 10
∴ – 940 = 60 – 10n
∴ 10n = 60 + 940
∴ 10n = 1000
∴ n = `1000/10`
n = 100
APPEARS IN
RELATED QUESTIONS
If the nth term of a progression be a linear expression in n, then prove that this progression is an AP
The 10th term of an A.P. is 52 and 16th term is 82. Find the 32nd term and the general term
Determine the general term of an A.P. whose 7th term is –1 and 16th term 17
In the following situation, involved make an arithmetic progression? and why?
The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time.
The general term of a sequence is given by an = −4n + 15. Is the sequence an A.P.? If so, find its 15th term and the common difference.
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
3, 6, 12, 24, ...
Find n if the given value of x is the nth term of the given A.P.
25, 50, 75, 100, ...; x = 1000
Find the arithmetic progression whose third term is 16 and the seventh term exceeds its fifth term by 12.
Find the common difference of the A.P. and write the next two terms 75, 67, 59, 51, ...
Write the two terms of the A.P. 2,5,8,11,...
Check whether the following sequence is in A.P.
9, 13, 17, 21, 25, ...
Check whether the following sequence is in A.P.
`(-1)/3, 0, 1/3, 2/3, ...`
First term a and common difference d are given below. Find the corresponding A.P.
a = 7, d = – 5
Find common difference of an A.P., 0.9, 0.6, 0.3 ......
Find d if t9 = 23 व a = 7
Find first four terms of an A.P., whose first term is 3 and common difference is 4.
In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.
The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs 400.
If the nth terms of the two APs: 9, 7, 5,... and 24, 21, 18,... are the same, find the value of n. Also find that term.
The eighth term of an AP is half its second term and the eleventh term exceeds one third of its fourth term by 1. Find the 15th term.
The first term of an A.P. is 22, the last term is –6 and the sum of all the terms is 64. Find the number of terms of the A.P. Also, find the common difference.
