If a1 = 7 and an = -2an-1 then find the value of a5

Mathematics

1 answer:

alukav5142 [94]2 years ago

7 0

Answer:

$a_1 = 7 \\ a_n = - 2a_{n - 1} \\ a_2 = - 2a_1 = - 2(7) = - 14 \\ a_3 = - 2a_2 = - 2( - 14) = 28 \\ a_4 = - 2a_3 = - 2(28) = - 56 \\ a_5 = - 2a_4 = - 2( - 56) = 112$

You might be interested in

I can identify and use inverses to solve equations with one variable

Naddik [55]

Answer:

$\boxed{g = 0.0278}$

Step-by-step explanation:

$\boxed{question \: 3.} \\ \frac{2}{3} = 5 \sqrt{g} - \frac{1}{6} \\ 4= 30 \sqrt{g } - 1 \\ 30 \sqrt{g} = 5 \\ \sqrt{g} = \frac{5}{30} \\ g = \frac{ {5}^{2} }{ {30}^{2} } = \frac{25}{900} \\ g = \frac{1}{36} = 0.0277777778 \\ \boxed{ g = 0.0277777778}$

♨Rage♨

7 0

2 years ago

Thank You in advance:-) Sally has seven times as many dimes as nickels. Their value is $3.00. How many nickels does she have?

OleMash [197]

Answer:

12 nickles

Step-by-step explanation:

24 dimes = $2.40

12 nickles = .60

$2.40 + .60 = $3.00

6 0

3 years ago

Read 2 more answers

Find the distance between -6 and 8

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

6+8=14

8 0

2 years ago

Read 2 more answers

HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu

xxTIMURxx [149]

Answer:

$y = \frac{1}{2}x^{2} - 3x + 11.5$

Step-by-step explanation:

Vertex form of a quadratic equation;

$y = a( x - h )^{2} + k$

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

$y = a ( x + 3 ) ^{2} + 7$