The first three terms of an A.P. are 3y − 1, 3y + 5 and 5y + 1 respectively. Then, the value of y is :
1
5
8
3
AP
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Question

The first three terms of an A.P. are 3y − 1, 3y + 5 and 5y + 1 respectively. Then, the value of y is : 1. 1 2. 5 3. 8 4. 3

KnowledgeBoat · Accepted Answer

Given, The first three terms of an A.P. are 3y − 1, 3y + 5 and 5y + 1. The difference between consecutive terms must be equal. ⇒ 3y + 5 - (3y - 1) = 5y + 1 - (3y + 5) ⇒ 3y + 5 - 3y + 1 = 5y + 1 - 3y - 5 ⇒ 6 = 2y - 4 ⇒ 2y = 6 + 4 ⇒ 2y = 10 ⇒ y = ⇒ y = 5. Hence, option 2 is the correct option.

Mathematics

The first three terms of an A.P. are 3y − 1, 3y + 5 and 5y + 1 respectively. Then, the value of y is :
1
5
8
3

AP

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If a = 3, n = 8 and S_n = 192, then the common difference of the A.P. is:
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Mathematics

The first three terms of an A.P. are 3y − 1, 3y + 5 and 5y + 1 respectively. Then, the value of y is :1583

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Related Questions

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The first three terms of an A.P. are 3y − 1, 3y + 5 and 5y + 1 respectively. Then, the value of y is :
1
5
8
3

If the sum of first p terms of an A.P. is ap² + bp, then its common difference is :
a
3a + b
a + b
2a

The 8th term from the end of the A.P. 7, 10, 13, …, 184 is:
157
160
163
166

If a = 3, n = 8 and S_n = 192, then the common difference of the A.P. is:
4
5
6
7