For what value of p are 2p + 1, 13, 5p – 3, three consecutive
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Arithmetic Progressions
Short Answer Type
191.
Find the sum of all two digit natural numbers which when divided by 3 yield 1 as remainder. 1605
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192.
For what value of n are the n
th
terms of two A .P.’s 63, 65, 67 .......and 3, 10, 17,.... equal.
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193.
If m times the m
th
term of an A .P. is equal to n times its n
th
term, find the (m + n)
th
term of the A .P.
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194.
In an A .P., the first term is 8, n
th
term is 33, and sum to first n terms is 123. Find n and d, the common difference.
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195.
In an A .P., the first term is 25, n
th
term is –17 and sum to first n terms is 60. Find n and d, the common difference.
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196.
In an A .P., the term is 22, n
th
term is –11 and sum to first n terms is 66. Find n and d, the common difference.
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197.
Find the sum of all two digit natural numbers which common divided by 7 yield 1 as remainders.
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198.
Write the common difference of an A .P. whose nth term is 3n + 5.
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199.
Find the middle term of the A .P. : 10, 7, 4...... (–62).
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200.
For what value of p are 2p + 1, 13, 5p – 3, three consecutive terms of an A .P.
Solution not provided.
Ans. p = 4
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