Important Questions of Sequences and Series Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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91.

Evaluate:

space space sum from straight i equals 1 to 10 of open square brackets open parentheses 1 half close parentheses to the power of straight i minus 1 end exponent plus open parentheses 1 fifth close parentheses to the power of straight i plus 1 end exponent close square brackets

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92.

Find the sum of the products of the corresponding terms of sequences 2, 4, 8, 16, 32 and 128, 32, 8, 2, 1 half.


165 Views

93.

If f is a function f(x + y) = f(x) f(y) for all x, yspace space element of N such that f(1) = 3 and <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre>, find the value of n.

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94.

If A and G are respectively the A.M. and G.M. between the two distinct positive numbers are a and b, then Prove A>G.

129 Views

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95.

If A and G are respectively the A.M. and G.M. between two positive numbers a and b, then proof the quardratic equation having a, b as it roots is straight x squared minus 2 Ax plus straight G squared equals 0.

138 Views

96.

If A and G be A.M. and G.M. between two positive numbers, then the numbers are

straight A plus-or-minus square root of straight A squared minus straight G squared end root.

102 Views

97.

The A.M. between two positive numbers is 34 and their GM. is 16. Find the numbers.

155 Views

98.

Find two positive numbers whose difference is 12 and whose A.M. exceeds the GM. by 2.

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99.

Find the value of n so that fraction numerator straight a to the power of straight n plus 1 end exponent plus straight b to the power of straight n plus 1 end exponent over denominator straight a to the power of straight n plus straight b to the power of straight n end fraction may be the G.M. between a and b.

117 Views

100.

The A.M. of two numbers is 3 times their G.M. Show that the numbers are in the ratio

3 plus 2 square root of 2 colon space space 3 minus 2 square root of 2.

134 Views

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