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13.3E: Utaratibu wa kijiometri (Mazoezi)

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    13. Pata uwiano wa kawaida kwa mlolongo wa kijiometri\(2.5, \quad 5, \quad 10, \quad 20, \ldots\)

    14. Je, mlolongo wa\(4,16,28,40 \ldots\) kijiometri? Ikiwa ndivyo, pata uwiano wa kawaida. Kama siyo, kueleza kwa nini.

    15. Mlolongo wa kijiometri una masharti\(a_{7}=16,384\) na maneno matano ya kwanza ni\(a_{9}=262,144 .\) nini?

    16. Mlolongo wa kijiometri una muda wa kwanza\(a_{1}=-3\) na uwiano wa kawaida\(r=\frac{1}{2} .\) Nini\(8^{\text {th }}\) neno?

    17. Je! Ni maneno matano ya kwanza ya mlolongo wa kijiometri\(a_{1}=3, \quad a_{n}=4 \cdot a_{n-1} ?\)

    18. Andika formula ya kujirudia kwa mlolongo wa kijiometri\(1, \quad \frac{1}{3}, \quad \frac{1}{9}, \quad \frac{1}{27}, \ldots\)

    19. Andika formula wazi kwa mlolongo wa kijiometri\(-\frac{1}{5}, \quad-\frac{1}{15}, \quad-\frac{1}{45}, \quad-\frac{1}{135}, \ldots\)

    20. Ni maneno ngapi katika mlolongo wa kijiometri wa mwisho\(-5,-\frac{5}{3},-\frac{5}{9}, \ldots,-\frac{5}{59,049} ?\)