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2 years ago

6

For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.

1 answer:

aliya0001 [1]2 years ago

4 0

Answer:

an = -3 · an - 1 where a1 = -1.

Step-by-step explanation:

The first term a1 = -1 and the common ratio is -3 so ecah term is formed form the previous one by multiplying by -3.

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3 years ago

Simplify 3×+1(2×-1)2-1(6×)

trasher [3.6K]

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Answer = $\boxed {x - 2}$

$3x +1(2x-1)2-1(6x)$

= $\boxed {3x + 1 . ( 2x - 1 ) . 2 - 1 (6x) = x - 2}$

Steps :

$3x + 1 . (2x - 1) . 2 - 1 . (6x)$

Remove the parentheses : $(a) = a$

$= 3x + 1 * (2x- 1) * 2 - 1 * 6x$

Multiply the numbers : $1 * 2 = 2$

$= 3x + 2 ( 2x - 1 ) * 6x$

Multiply the numbers : $1 * 6 = 6$

$= 3x + 2 ( 2x - 1 ) -6x$

Expand: $2 (2x - 1) : 4x - 2$

$2 ( 2x - 1 )$

Apply the distributive law : $a (b - c) = ab - ac$

$a = 2, b = 2x, c = 1 \\= 2 * 2x - 2 * 1$

Simplify $2 * 2x - 2 * 1 : 4x - 2$

= $= 4x - 2$

$= 3x + 4x - 2 - 6x$

Simplify $3x + 4x - 2 - 6x : x - 2$

= $x - 2$

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Have a great day/night!

❀*May*❀

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