Answer:
88
Step-by-step explanation:
We are given that in arithmetic sequence , the nth term
is given by the formula

Where 
d=Common difference
In an geometric sequence, the nth term is given by

Where r= Common ratio
1,4,7,10,..
We have to find 30th term.







Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.
Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence
Then, we get

Hence, the 30th term of sequence is 88.
Step-by-step explanation:
4x+5x=180 (allied angles)
9x=180
x=180/9
x=20
If y = x then it would just be y = x. A straight line going up through the origin.
Answer:
Step-by-step explanation:
x = 8 ; y = 5/3

![\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%5Bx%282y%2B3z%29%5D%20%3D%5Cdfrac%7B1%7D%7B4%7D%5B8%2A%282%2A%5Cdfrac%7B5%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B3%7D%29%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%288%2A%28%5Cdfrac%7B10%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B3%7D%29%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%288%2A%5Cdfrac%7B15%7D%7B3%7D%29%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%2A8%2A5%5C%5C%5C%5C%3D2%2A5%5C%5C%5C%5C%3D10)
Answer:
84 98
Step-by-step explanation: