Find the unit Digit for the sum 13^25+4^81+5^4111. In polya's problem solving and reasoning.

Q: Find the sum of the first 80 positive even integers.

A: 2, 4, 6, 8, 10,....... This is an arithmetic sequence with  a1=first term=2d=common difference=4-2=2…

Q: How many 4 digit numbers do not have digit 0 in them.

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Q: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: What is the sum of the first 5862 multiples of 3?

A: Arithmetic Progression :   Arithmetic Progression (AP) is a sequence of numbers in order in which…

Q: egrand as a sum of

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Q: How many multiples of 7 are between 10 and 500?

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Q: Use estimation to find the approximate product of 849 times 759

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Q: Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided…

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Q: How many multiples of 4 lie between 10 and 250?

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Q: How many sixths are in 2

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Q: How many multiples of 4 lie between 100 and 500?

A: Solution

Q: Find 9 sequential composite numbers.

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Q: Find for the sum of the first 50 negative even integers.

A: Negative even integers :-    -2,-4,-6,-8, ....... This is AP series with a=-2, d=-2