Advertisements
Advertisements
प्रश्न
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
`sqrt2, sqrt8, sqrt18, sqrt32 ...`
उत्तर
`sqrt2, sqrt8, sqrt18, sqrt32 ...`
Here,
a2 - a1 = `sqrt8 - sqrt2 = 2sqrt2 - sqrt2 = sqrt2`
a3 - a2 = `sqrt18 - sqrt8 = 3sqrt2 - 2sqrt2 = sqrt2`
a4 - a3 = `4sqrt2 - 3sqrt2 = sqrt2`
⇒ an+1 - an is same every time.
Therefore, `d = sqrt2` and the given numbers are in A.P.
Three more terms are
a5 = `sqrt32 + sqrt2 = 4sqrt2 + sqrt2 = 5sqrt2 = sqrt50`
a6 = `5sqrt2 +sqrt2 = 6sqrt2 = sqrt72`
a7 = `6sqrt2 + sqrt2 = 7sqrt2 = sqrt98`
APPEARS IN
संबंधित प्रश्न
There is an auditorium with 35 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the twenty-fifth row.
State whether the following sequence is an AP or not: 1, 3, 6, 10………
Four numbers are in A.P. If their sum is 20 and the sum of their square is 120, then find the middle terms
Find the common difference of an AP, whose first term is 5 and the sum of its first four terms is half the sum of the next four terms
In the following situation, involved make an arithmetic progression? and why?
The taxi fare after each km when the fare is ₹ 15 for the first km and ₹ 8 for each additional km.
Write first four terms of the A.P. when the first term a and the common difference d are given as follows:
a = -1.25, d = -0.25
For the following arithmetic progressions write the first term a and the common difference d:
0.3, 0.55, 0.80, 1.05, ...
Write the sequence with nth term an = 5 + 2n
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
1.0, 1.7, 2.4, 3.1, ...
The 6th and 17th terms of an A.P. are 19 and 41 respectively, find the 40th term.
Find the arithmetic progression whose third term is 16 and the seventh term exceeds its fifth term by 12.
Find the 8th term from the end of the A.P. 7, 10, 13, ..., 184
Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.
12, 52, 72, 73, ...
Find the 19th term of an A.P. – 11, – 15, – 19, ...
If 6 times of 6th term of an A.P. is equal to 7 times the 7th term, then the 13th term of the A.P. is
Choose the correct alternative answer for the following sub question
In an A.P., 0, – 4, – 8, – 12, ... find t2 = ?
Find the first terms and common difference of an A.P. whose t8 = 3 and t12 = 52.
If p, q, r are in AP, then p3 + r3 - 8q3 is equal to ______.
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.
How many terms are present in the sequence of A.P. 6, 11, 16, 21, ......... whose sum is 969?
