Math, asked by princymp33, 11 months ago

the set of all positive integers which leaves remainder 5 when divided by 7 are​

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Answered by balajioutstander8
24

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Answered by AdorableMe
7

Answer:

129

Step-by-step explanation:

Least 3-digit number=100

Greatest 3-digit number=999

Least 3-digit number when divided by 5 leaves remainder as 7=103

Greatest 3-digit number when divided by 5 leaves remainder as 7=999

So, an A.P. is formed in this way:

103, 110, ......., 999

where d =7

Now,

aₙ=999

a=103

We know,

aₙ=a+(n-1)d

⇒999=103+(n-1)7

⇒896=7(n-1)

⇒n-1=128

n=129

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