.35 as a percentage would be 35%.
.35 = 35 / 100 as a fraction
Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =
![T_2-T_1 \\ - 2 - 3 \\ = - 5](https://tex.z-dn.net/?f=T_2-T_1%20%5C%5C%20%20-%202%20-%203%20%5C%5C%20%20%3D%20%20-%205)
Common ratio =
![T_2/T_1 \\ \frac{ - 2}{3}](https://tex.z-dn.net/?f=T_2%2FT_1%20%5C%5C%20%20%5Cfrac%7B%20-%202%7D%7B3%7D%20)
The common difference applies to the other given numbers for example :
![T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5](https://tex.z-dn.net/?f=T_3-%20T_2%20%20%3D%20%20-%207%20-%20%28%20-%202%29%20%5C%5C%20%20%3D%20%20-%207%20%2B%202%20%3D%20%20-%205)
this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference
Step-by-step explanation:
the answer is 744..........
<h3>
Answer: Choice B</h3>
=========================================================
Explanation:
The rule we use is
![\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m](https://tex.z-dn.net/?f=%5CLarge%20a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D%20%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7Ba%7D%5Cright%29%5Em)
where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).
So for instance,
![\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3](https://tex.z-dn.net/?f=%5CLarge%202%5E%7B3%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B2%5E3%7D%20%3D%20%5Cleft%28%5Csqrt%5B4%5D%7B2%7D%5Cright%29%5E3)
or in this case,
![\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5](https://tex.z-dn.net/?f=%5CLarge%20t%5E%7B5%2F8%7D%20%3D%20%5Csqrt%5B8%5D%7Bt%5E5%7D%20%3D%20%5Cleft%28%5Csqrt%5B8%5D%7Bt%7D%5Cright%29%5E5)