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Nostrana [21]
3 years ago
5

In a “Fibonacci” sequence of numbers, each term beginning with the third, is the sum of the previous two terms. The first number

in such a sequence is 2 and the third is 9. What is the eighth term in the sequence?
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

<em><u>8</u></em><em><u>t</u></em><em><u>h</u></em><em><u> </u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>m</u></em><em><u>=</u></em><em><u>1</u></em><em><u>0</u></em><em><u>7</u></em>

Step-by-step explanation:

Here the sequence is following the 'fibonacci's sequence of numbers.....

i.e,Tn=T(n-1) +T(n-2), where n>2 but this sequence is not fibonnaci's number , it's not starting with 0, 1,1,2........

so you cannot apply formula to calculate,you have to find 8th term by simple calculation.....

Like here 3rd term is 9 and 1st term is 2

now 3rd term = 2nd term+1st term (sum of previous two terms)

i.e, 9= 2nd term +2

i.e, 2nd term =7

now, 4th term = 3rd +2nd

= 9+7=<u>1</u><u>6</u>

<u>again</u><u>,</u><u> </u> 5th term = 4th +3rd

=16+9=25

again,6th term =5th+4th

=25+16=41

again,7th term=6th+5th

=41+25=66

again,8th term=7th+6th

=66+41=107

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Answer:

you feel happy with the process on the long division page you can skip the first bit.

divide step 1 4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor.

divide step 2 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 3 25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.

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divide step 5 Bring down the next number of the dividend.

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divide step 7 The whole number result is placed at the top. Any remainders are ignored at this point.

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divide step 9 43 − 25 = 18 Now we take away the bottom number from the top number.

divide step 10 Bring down the next number of the dividend.

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divide step 16 Bring down the next number of the dividend.

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divide step 18 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 19 25 × 4 = 100 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.

divide step 20 100 − 100 = 0 Now we take away the bottom number from the top number.

divide step 21

The subtraction has given zero. We stop when this happens. The answer is 17.4

As long as the subtraction gives a number above zero the long division can carry on to as many decimal places as we wish.

Answer: 435 ÷ 25 = 17.4 FOLLOW ME

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