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3 years ago

A geometric sequence is defined by a the recursive formula t1 = 243, tn + 1 = tn/3

Mathematics

1 answer:

spayn [35]3 years ago

3 0

Answer:

tn = 243·(1/3)^(n-1)

Step-by-step explanation:

The recursive formula tells you the first term (243) and the common ratio (1/3). You can put these numbers into the general formula for the n-th term of a geometric sequence:

an = a1·r^(n-1) . . . . . where a1 is the first term and r is the common ratio

You want the n-th term of your sequence to be called tn, so ...

tn = 243·(1/3)^(n-1)

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3 years ago

PLEASE HELP ASAP!!!!!!!!!!!

marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

$\angle CFE=\angle DAB$

It is given that the angle DAB is 63 degree.

$\angle CFE=63^{\circ}$

Therefore, the correct option is b.

(2)

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So by (CPCTC) corresponding parts of congruent triangles are congruent.

$BD=EC$

$BD=CD+DE$

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Therefore, the correct option is c.

4 0

3 years ago

Read 2 more answers

one sixth of thirty six hundredths is less than two tenths less than four write as inequality if closed write true or false

Hatshy [7]

(1/6)(36/100)<4 - (2/10)
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true

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3 years ago

5/7 ............. 15/21 NONE OF THESE EQUAL GREATER THAN LESS THAN

sertanlavr [38]

Answer: EQUAL

Step-by-step explanation:

Just as you can do the same thing to both sides of an equation, you can do the same thing to both sides of a fraction. 15 = 5*3 and 21 = 7*3. Thus, 5/7=15/21

Hope it helps <3 :)

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3 years ago