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charle [14.2K]
3 years ago
12

A sequence is defined recursively by f(1)=16 and f(n)=f(n-1)+2n. Find f(4) 1) 32 2) 30 3) 28 4) 34

Mathematics
1 answer:
ella [17]3 years ago
5 0
f(1)=16 \ \ \ and \ \ \ \ f(n)=f(n-1)+2n \\ \\f(2)=f(1)+2\cdot2=16+4=20\\ \\f(3)=f(2)+2\cdot3=20+6=26\\ \\f(4)=f(3)+2\cdot4 =26+8=34

Ans.\ 4)
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GREYUIT [131]
Remark
I take it that you mean y^2 = 36x. The first thing you should try and do is get a graph of the given equation. I've done that for you. Notice a few characteristics.

1. The graph opens left. Usually most graphs like this one open up or down.
2. The graph is open ended on the right. 
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When you get a graph looking like this, you have either a graph called a quadratic or a parabola. Either (but not both) could be your answer. If you have choices list them in a comment.
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In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.
lozanna [386]

Answer:

148º

Step-by-step explanation:

Use the information given:

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  • Combine like terms, 212-R=180
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With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

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3 0
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Turn 32/64 into a percent?
alexandr402 [8]


To turn 32/64 into a percent, you have to divide the numerator by the denominator and then multiply the answer by 100.

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So 50% is the percent for 32/64.

Hope it helps :)

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valentina_108 [34]

For line A,

if we increase x by 1 unit then y increases by 4 units i.e. (1,3) and similarly another point becomes

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For line B,

if we increase x by 1 uni then y also increases by 1 unit i.e ( 1,1) and similarly another points becomes (2,2),(3,3),(4,4), etc.

For line C,

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