The common difference of the A.P. \(\frac{1}{3}, \frac{{1 - 3b}}{3} , \frac{{1 - 6b}}{3}\) . . . . . . is
\(\frac{1}{3}\)
\( - \frac{1}{3}\)
-b
b
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1
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After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.
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2
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What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?
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3
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What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
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4
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How many 2-digit positive integers are divisible by 4 or 9?
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5
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Consider an infinite G.P. with first term a and common ratio r, its sum is 4 and the second term is 3/4, then
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6
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If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
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7
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If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are
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8
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If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is :
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9
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The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?
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10
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If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be
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