Answer:
Step-by-step explanation:
4(3) + 0.95 <== ur expression
Answer:
Hello,
remainder is 15/8
Step-by-step explanation:
![\begin{array}{c|ccc|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&1&1&1\\x=\dfrac{1}{2} &&\dfrac{1}{2} &\dfrac{3}{4} &\dfrac{7}{8} \\---&---&---&---&---\\&1&\dfrac{3}{2}&\dfrac{7}{4}&\dfrac{15}{8}\\\end{array}\\\\\\x^3+x^2+x+1=(x-\dfrac{1}{2} )*(x^2+\dfrac{3}{2}x+\dfrac{7}{4}) +\dfrac{15}{8}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cccc%7Cc%7D%26x%5E3%26x%5E2%26x%261%5C%5C---%26---%26---%26---%26---%5C%5C%261%261%261%261%5C%5Cx%3D%5Cdfrac%7B1%7D%7B2%7D%20%26%26%5Cdfrac%7B1%7D%7B2%7D%20%26%5Cdfrac%7B3%7D%7B4%7D%20%26%5Cdfrac%7B7%7D%7B8%7D%20%5C%5C---%26---%26---%26---%26---%5C%5C%261%26%5Cdfrac%7B3%7D%7B2%7D%26%5Cdfrac%7B7%7D%7B4%7D%26%5Cdfrac%7B15%7D%7B8%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5C%5C%5C%5Cx%5E3%2Bx%5E2%2Bx%2B1%3D%28x-%5Cdfrac%7B1%7D%7B2%7D%20%29%2A%28x%5E2%2B%5Cdfrac%7B3%7D%7B2%7Dx%2B%5Cdfrac%7B7%7D%7B4%7D%29%20%2B%5Cdfrac%7B15%7D%7B8%7D)
Answer: 213
Step-by-step explanation:
Given :
![3 , 9 , 15 , ...](https://tex.z-dn.net/?f=3%20%2C%209%20%2C%2015%20%2C%20...)
The difference between the first term and the second term is 6 and the difference between the third term and the second term is 6 , this means that the sequence is an Arithmetic sequence.
The formula for calculating the nth term of an arithmetic sequence is given as :
= ![a + (n-1)d](https://tex.z-dn.net/?f=a%20%2B%20%28n-1%29d)
where :
a = first term
n = number of terms
d = common difference
Therefore , the 36th term will be :
= ![3 + (36-1)(6)](https://tex.z-dn.net/?f=3%20%2B%20%2836-1%29%286%29)
= ![3 + 35(6)](https://tex.z-dn.net/?f=3%20%2B%2035%286%29)
= ![3 + 210](https://tex.z-dn.net/?f=3%20%2B%20210)
= ![213](https://tex.z-dn.net/?f=213)
Therefore : the 36th term = 213