Write the value of a30-a10 for the A-P- 4-9-14-19- -

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Standard X

Mathematics

Solving a Quadratic Equation by Factorization Method

Write the val...

Question

Write the value of a₃₀ − a₁₀ for the A.P. 4, 9, 14, 19, ....

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Solution

In this problem, we are given an A.P. and we need to find.

A.P. is

Here,

First term (a) = 4

Common difference of the A.P. (d)

Now, as we know,

Here, we find a₃₀ and a₂₀.

So, for 30^th term,

Also, for 10^th term,

So,

Therefore, for the given A.P.

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Similar questions

Q. Find the value of

a_{30} - a_{20}

for the A.P

4, 7, 10, . . . .

Q. Find the value of

a_{30} - a_{20}

for

A . P . 2, 7, 12, 17.....

Given the terms $a_{10} = \frac{3}{512}$ and $a_{15} = \frac{3}{16384}$ of a geometric sequence, find the exact value of the term $a_{30}$ of the sequence.

Q. Find

t n

and

S n

for an

A . P . 4, 9, 14, 19, . . . . . . . . . .

Q. Let

a_{1}, a_{2}, \dots, a_{30}

be in A.P.,

S = 30 \sum i = 1 a_{i}

and

T = 15 \sum i = 1 a_{2 i - 1}

. If

a_{5} = 27

and

S - 2 T = 75

, then the value of

a_{10}

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Write the value of a30 − a10 for the A.P. 4, 9, 14, 19, ....

In this problem, we are given an A.P. and we need to find. A.P. is Here, First term (a) = 4 Common difference of the A.P. (d) Now, as we know, Here, we find a30 and a20. So, for 30th term, Also, for 10th term, So, Therefore, for the given A.P.

Write the value of a₃₀ − a₁₀ for the A.P. 4, 9, 14, 19, ....

In this problem, we are given an A.P. and we need to find.

A.P. is

Here,

First term (a) = 4

Common difference of the A.P. (d)

Now, as we know,

Here, we find a₃₀ and a₂₀.

So, for 30^th term,

Also, for 10^th term,

So,

Therefore, for the given A.P.