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sleet_krkn [62]
2 years ago
5

given the first term and the common difference of an arithmetic sequence find the 52nd term and the explicit formula. did I do t

his right ?

Mathematics
1 answer:
Andreyy892 years ago
8 0

Answer:

41)  A52 = -10206

42) - 320

43)  -276

44)  10200

Step-by-step explanation:

41) A1 = -6, D = -200

An = a1 + (n - 1) d

We have to use the above formula to find the 52nd term.

A52 = -6 + (52 - 1) -200

= -6 + 51*-200

= -6 - 10200

A52 = -10206


42)

37 + -7(52 -1)

37 + -7(51)

= 37 - 357

= - 320

43)

30 + -6(52 -1 )

= 30 + -6(51)

= 30 - 306

= -276

44)

0 + 200(52 -1)

= 200(51)

= 10200

Thank you.

Hope you will understand the concept.

Thank you.

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Answer:

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MA_775_DIABLO [31]

Answer:

  • One proportion to solve is 8/18 = x/8
  • Exact answer as a fraction: x = 32/9
  • Approximate answer in decimal form: x = 3.556

In reality, the 5's go on forever, but we have to round off somewhere.

========================================================

Explanation:

Break up the triangles as your teacher recommends. See the diagram below as to what I mean.

The smaller triangle has A = 8 as the horizontal side, and B = x as the vertical side

The larger triangle has C = 10+8 = 18 as the horizontal aside, and D = 8 as the vertical side.

We can form the proportion A/C = B/D.

A/C connects the horizontal sides (small/large) while B/D has the vertical sides tied together. The order of division is the same small over large. You could do large over small, but make sure you keep both sides consistent.

-----------------

Let's solve for x

A/C = B/D

8/18 = x/8

8*8 = 18*x .... cross multiply

64 = 18x

18x = 64

x = 64/18 .... divide both sides by 18

x = 32/9  exactly in fraction form

x = 3.556 approximately in decimal form

-------------------

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There were 30 questions on the test.

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