# Math

In a HP 4th term is 1/11and 24th element is 3/23.find 7th and 19th term?

1. 👍 0
2. 👎 0
3. 👁 115
1. The reciprocals form an AP, so for that sequence,

a+3d = 11
a+23d = 23/3
a = 23/2
d = -1/6

Now you can find the desired terms:

H7 = 1/(a+6d)
H19 = 1/(a+18d)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

if 9th term of an A.P is 0.prove that its 29th term is double the 19th term.

2. ### Arithmetic Progression

In an AP the 6th term is half the 4th term and the 3rd term is 15. a. Find the fist term and the common difference. b. How many times are needed to give a sum that is less than 65?

3. ### Core mathematics

The 4th term of an A.P.is 37 and the 6th term is 12 more than the 4th term.find the 1st and the 7th term of the sequence.

4. ### Geometric progression

The 7th term of a g.p. is 8 times of the 4th term. find the series if its 5th term is 48.

1. ### Maths (srithematic progression)

If the 4th term of an A.P is twice the 8th term, prove that the 10th term is twice the 11th term.

2. ### math

Find the G.P in which 4th term is 3 and the 7th term is 8/9.

3. ### G.p.

The second term of a g.p. Is 27 and 7th term is 1/9. Find the first term and the common ratio.

4. ### arithmetic

The 8th term of an A P is 5times the third term while the 7th term is 9 greater than the 4th term.what are the first five term

1. ### maths

find the sum to 20 terms of an A.P. whose 4th term is 7 and 7th term is 13

2. ### Utech

The 9th term of an Arithmetic Progression is 8 and the 4th term is 20. Find the first term and the common difference.

3. ### math

The 9th term of an AP is 8 and the 4th term is 20. Find the first term and the common difference.

4. ### math

The 3rd term of a geometric progression is nine times the first term.if the second term is one-twenty fourth the 5th term.find the 4th term. solution ar^2=9a r=sqr of 9 r=3.pls help me on how to get the first term(a)