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3 years ago

What is the 101st term in the sequence 782, 777, 772

Mathematics

2 answers:

EleoNora [17]3 years ago

7 0

Answer:

267 (if this isn't correct, try 277)*

Step-by-step explanation:

The pattern is subtracting 5 from the original number.

So, since we want to find the 101st, we multiply 101 by five

101*5=505

Therefore, we subtract 505 from 772

772-505= 267

*if it isn't correct, its because the 3 are part of 101, and after 772 is the 4th term, so in that case we would do 782-505=277

denis-greek [22]3 years ago

3 0

$782 + 100(-5)$

=282

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Step-by-step explanation:

Given the matrix equation below:

$\left(\begin{array}{ccc}1&-2&-4\\5&-4&7\\-7&5&2\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\5\\-3\end{array}\right)$

We are required to write the matrix equation as a system of linear equations without matrices.

$\left(\begin{array}{ccc}1&-2&-4\\&&\\&&\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\&\\&\end{array}\right)$is equivalent to: x-2y-4z=8$

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$x-2y-4z=8\\5x-4y+7z=5\\-7x+5y+2z=-3$

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