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1 Write the series 3 + 6x +9x2 +12x + ... with 45 terms in sigma notation.​

Sagot :

Averysmartperson

Answer:

Step-by-step explanation:

It looks like every time the coefficient increases by 3 while the exponent increases by 1.

[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]

Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0

The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.

The upper limit is 45 because 45 - 0 = 45 terms

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