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## watchmath 5 years ago System of equation: Let $$x_1,x_2,\ldots,x_7$$ be real numbers such that \begin{align*} x_1+4x_2+9x_3+16x_4+25x_5+36x_6+49x_7&=1\\ 4x_1+9x_2+16x_3+25x_4+36x_5+49x_6+64x_7&=12\\ 9x_1+16x_2+25x_3+36x_4+49x_5+64x_6+81x_7&=123 \end{align*}Find $$16x_1+25x_2+36x_3+49x_4+64x_5+81x_6+100x_7$$

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1. angela210793

O.o

2. anonymous

i think its 1234 why look to the number of $x_ 1$ 4 9 16 now $x_2$ 4 9 16 25 and so the answers was 1 and 12 and 123 there is a Relationship between the numbers what do you study ? is it Series ?

3. watchmath

No, that is not right! :D

4. anonymous

what do you study matrix or Series or solve equation ? that will help to find the method of solve but the number is very strange 1 ,4(3+1),9(4+5),16(9+7) ......

5. watchmath

This is not related to any course :). It is just an elementary problem that needs some creativity to solve it.

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