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4 years ago

Simplify 5 + 2{x - 4[3x + 7(2 - x)]}. -34x - 107 34x - 107 34x + 107

1 answer:

5 0

5 + 2(x - 4(3x + 7(2 - x)))
5 + 2(x - 4(3x + 14 - 7x))
5 +2(x - 4((3x - 7x) + 14))
5 + 2(x - 4(-4x + 14))
5 + 2(x + 16x - 56)
5 + 2(17x - 56)
5 + 34x - 112
34x - 107

The answer is: 34x - 107.

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2) 2,490,924

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<u>Step-by-step explanation:</u>

$S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784$

$\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\$

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