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A man starts repaying a loan as first of Rs 100. If the increases the instalment by Rs 5 every month, what amount he will pay in the 30th instalment?

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The correct Answer is:
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First instalment of loan a= Rs 100
Difference of amount of each instalment d= Rs 5
Then amount of 30th instalment
`=a+(n-1)d=100+(30-1)5=100+150-5=245`
Therefore, amount of 30th instalment = Rs 245.
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NAGEEN PRAKASHAN-SEQUENCE AND SERIES-Exercise 9.2
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  2. Find the sum of all natural numbers lying between 100 and 1000, which ...

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  3. In an A.P., the first term is 2 and the sum of the first five terms is...

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  4. How many terms of the A.P. -6,-(11)/(2),-5… are needed to give the sum...

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  5. In an A.P., if pth terms is (1)/(q) and qth term is (1)/(p) prove that...

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  6. If the sum of a certain number of terms of the A.P. 25, 22, 19, … is 1...

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  7. Find the sum to n terms of the A.P., whose kth term is 5k+1.

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  8. If the sum of n terms of an A.P. is (pn+qn^(2)), where p and q are con...

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  9. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  10. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  11. Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...

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  12. The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2). Show...

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  13. If the sum of n terms of an A.P. is 3n^(2)+5n and its mth term is 164,...

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  14. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  15. "If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" is the A.M. between" a and b, t...

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  16. Between 1 and 31, m numbers have been inserted in such a way that the ...

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  17. A man starts repaying a loan as first of Rs 100. If the increases the ...

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