7 1/4 + 5 3/5
First, you need a common denominator to add the two. 20 will work.
4x5=20, so we have to also multiply 1 by 5.
4x5=20, 1x5=5
5x4=20, so we have to also multiply 3 by 4.
5x4=20, 3x4=12
And now we put the fractions back in.
7 5/20 + 5 12/20
And add them.
7 5/20 + 5 12/20 = 12 17/20
Now, we're supposed to reduce it to its lowest form.
Unfortunately, the fraction cannot be reduced, because 17 is a prime number, meaning there are no factors to it except one and itself.
Therefore, the lowest form of 12 17/20 is 12 17/20
Your answer is B, 12 17/20
Use the calculator to find the Product
25 is the answer/ third option
so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?
so is the 8th term, then, let's find the Sum of the first 8 terms.
![\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020](https://tex.z-dn.net/?f=%20%5Cbf%20S_8%3D512%5Cleft%5B%20%5Ccfrac%7B1-%5Cleft%28%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%5E8%7D%7B1-%5Cfrac%7B1%7D%7B2%7D%7D%20%5Cright%5D%5Cimplies%20S_8%3D512%5Cleft%28%5Ccfrac%7B1-%5Cfrac%7B1%7D%7B256%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%20%5Cright%29%5Cimplies%20S_8%3D512%5Cleft%28%5Ccfrac%7B%5Cfrac%7B255%7D%7B256%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%20%5Cright%29%5C%5C%5C%5C%5C%5CS_8%3D512%5Ccdot%20%5Ccfrac%7B255%7D%7B128%7D%5Cimplies%20S_8%3D1020%20)
It is 25.2982212813 hope you have a good day
