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In an arithmetic sequence a1 + a3 = 12 a...

In an arithmetic sequence `a_1 + a_3 = 12` and `a_4+a_6 = 24`. Find the values of a and d

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To solve the problem, we need to find the values of \( a_1 \) (the first term) and \( d \) (the common difference) of the arithmetic sequence given the equations \( a_1 + a_3 = 12 \) and \( a_4 + a_6 = 24 \). ### Step-by-Step Solution: 1. **Write the general term of an arithmetic sequence**: The \( n \)-th term of an arithmetic sequence can be expressed as: \[ a_n = a_1 + (n - 1)d ...
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MAHAVEER PUBLICATION-SERIES-QUESTION BANK
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  2. Find the following sums -2+1+4+7+…..+25

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  3. In an arithmetic sequence a1 + a3 = 12 and a4+a6 = 24. Find the values...

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  4. In an arithmetic series, the sum of the first 2n terms is half the sum...

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  5. Suppose that you play black jack Harrah's on June 1 and $1000 lose. To...

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  6. Insert 5 arithmetic mean between 13 and -11.

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  7. Find the general (n^(th)) term for the following geometric sequences :...

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  8. Find the general (n^(th)) term for the following geometric sequences :...

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  9. Find the general (n^(th)) term for the following geometric sequences :...

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  10. Find the 10^(th) term in the series 2,4,8,16,…..

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  11. Find the following sums First 5 terms of -6+18-54+…..

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  12. Find the following sums 5+10+20+40+…..+2560

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  13. Find the following sums -2+4-8+16-…..

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  14. Find the following sums 24+12+6+3+3/2+3/4+…..

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  15. Find the sum of the first 8 terms of the series 2,6,18,54.

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  16. How much is going to taxes? Suppose that we track a tax refund of $ 10...

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  17. Insert two geometric means between 2 and 1024.

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  18. If A.M. and GM. of two positive numbers a and b are 10 and 8, respe...

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  19. The 12^(th) term and 15^(th) term of an AP are 68 and 86 respectively....

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  20. Find the sum: 3+7+11+…..+79.

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