The 40 th term of an A.P. exceeds its 16 th term by 72. Then its common difference is : 1. 40 2. 40 - 16 3. 72 4. 3

Let first term of A.P. be a and common difference be d. By formula, a n = a + (n - 1)d Given, 40 th term of an A.P. exceeds its 16 th term by 72. ∴ a 40 - a 16 = 72 ⇒ [a + (40 - 1)d] - [a + (16 - 1)d] = 72 ⇒ a + 39d - [a + 15d] = 72 ⇒ a - a + 39d - 15d = 72 ⇒ 24d = 72 ⇒ d = = 3. Hence, Option 4 is the correct option.

Ten times the 10^th term of an A.P. is equal to twenty times the 20^th term of the same A.P. The 30^th term of this A.P. is :
0
40
20
2 × (30 + 10)

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The n^th term of an A.P. is 7n - 5. Its common difference is :
2
9
16
7

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The n^th term of the A.P. 6, 11, 16, 21, ……. is 106, the the value of n - 4 is :
17
15
16
20

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In an A.P. ten times of its tenth term is equal to thirty times of its 30^th term. Find its 40^th term.

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Mathematics

The 40^th term of an A.P. exceeds its 16^th term by 72. Then its common difference is :
40
40 - 16
72
3

AP GP

Related Questions

Ten times the 10^th term of an A.P. is equal to twenty times the 20^th term of the same A.P. The 30^th term of this A.P. is :
0
40
20
2 × (30 + 10)

The n^th term of an A.P. is 7n - 5. Its common difference is :
2
9
16
7

The n^th term of the A.P. 6, 11, 16, 21, ……. is 106, the the value of n - 4 is :
17
15
16
20

In an A.P. ten times of its tenth term is equal to thirty times of its 30^th term. Find its 40^th term.

Mathematics

The 40th term of an A.P. exceeds its 16th term by 72. Then its common difference is :4040 - 16723

AP GP

Related Questions

Ten times the 10th term of an A.P. is equal to twenty times the 20th term of the same A.P. The 30th term of this A.P. is :040202 × (30 + 10)

The nth term of an A.P. is 7n - 5. Its common difference is :29167

The nth term of the A.P. 6, 11, 16, 21, ……. is 106, the the value of n - 4 is :17151620

In an A.P. ten times of its tenth term is equal to thirty times of its 30th term. Find its 40th term.

The 40^th term of an A.P. exceeds its 16^th term by 72. Then its common difference is :
40
40 - 16
72
3

Ten times the 10^th term of an A.P. is equal to twenty times the 20^th term of the same A.P. The 30^th term of this A.P. is :
0
40
20
2 × (30 + 10)

The n^th term of an A.P. is 7n - 5. Its common difference is :
2
9
16
7

The n^th term of the A.P. 6, 11, 16, 21, ……. is 106, the the value of n - 4 is :
17
15
16
20

In an A.P. ten times of its tenth term is equal to thirty times of its 30^th term. Find its 40^th term.