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Determine whether(tn) is an arithmetic s...

Determine whether`(t_n)` is an arithmetic sequence if: `t_n=an+b`

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`t_n=an+brArrt_(n+1)=a(n+1)+b` Now `t_(n+1)-t_a={a(n+1)+b}-{an+b}=a` (constant)
`therefore(t_n)` is an arithmetic sequence.
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MBD PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
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  2. Determine whether (tn) is an arithmetic sequence if: tn=an^2+bn

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  3. Determine whether(tn) is an arithmetic sequence if: tn=an+b

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  4. Determine whether (tn) is an arithmetic sequence if: tn=an^2+b

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  5. If a geometic series converges which of the following is true about it...

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  6. If an arithmetic series sumtn converges, which of the following is tru...

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  7. Which of the following is an arithmetico geometric series ?

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  8. For an arithmetic sequence (tn)tp=q,tq=p,(pneq), find tn.

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  9. For an arithmetic series suman, Sp=qandSq=p(pneq)find S(p+q)

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  10. The sum of a geometric series is 3. the series of squares of its terms...

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  11. The sum of a geometric series is 14, and the series of cubes of its te...

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  12. Find the sum as directed.1+2a+3a^2+4a^3+.... (first n terms (ane1))

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  13. Find the sum as directed.1+(1+x)y+(1+x+x^2)y^2+... (to infinity)

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  14. Find the sum as directed.1+3/5+7/25+15/125+31/625+... (to infinity)

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  15. Find the sum as directed.1+4x+8x^2+13x^3+19x^4+... (to infinity) Assum...

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  16. Find the sum as directed.3.2+5.2^2+7.2^3+.... (first n terms)

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  17. Find the sum of the infinite series. 1/(1.2)+1/(2.3)+1/(3.4)+...

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  18. Find the sum of the infinite series.1/(1.2.3)+1/(2.3.4)+1/(3.4.5)+...

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  19. Find the sum of the infinite series.1/(2.5.8)+1/(5.8.11)+1/(8.11.14)+....

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  20. Find the sum of the infinite series.3/(1^(2).2^(2))+5/(2^(2).3^(2))+7/...

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