Advertisements
Advertisements
प्रश्न
How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?
उत्तर
Here, the first number is 11,
Which divided by 4 leave a remainder 3 between 10 and 300
Last term before 300 is 299,
Which divided by 4 leave remainder 3.
∴ 11, 15, 19, 23, 299
Here, first term (a) = 11,
Common difference (d) = 15 – 11 = 4 ...[∵ nth term, an = a + (n – 1)d]
⇒ 299 = 11 + (n – 1)4
⇒ 299 – 11 = (n – 1)4
⇒ 4(n – 1) = 288
⇒ (n – 1) = 72
∴ n = 73
APPEARS IN
संबंधित प्रश्न
The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. Find the first term and the common difference of the A.P.
The first term of an A.P. is 2 and the last term is 50. The sum of all these terms is 442. Find the common difference.
37th term of the AP: `sqrtx, 3sqrtx, 5sqrtx, ....` is ______.
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be ______.
Determine the AP whose fifth term is 19 and the difference of the eighth term from the thirteenth term is 20.
The sum of the 5th and the 7th terms of an AP is 52 and the 10th term is 46. Find the AP.
Find the 12th term from the end of the AP: –2, –4, –6,..., –100.
What is the common difference of an AP in which a18 – a14 = 32?
Justify whether it is true to say that the following are the nth terms of an AP.
3n2 + 5
The sum of the first three terms of an A.P. is 33. If the product of the first and the third terms exceeds the second term by 29, find the A.P.
