The first five terms of the sequence are 1, 4, 7, 10, 13.
Solution:
Given data:
General term of the arithmetic sequence.
, where d is the common difference.
d = 3
Put n = 2 in , we get
Put n = 3 in , we get
Put n = 4 in , we get
Put n = 5 in , we get
The first five terms of the sequence are 1, 4, 7, 10, 13.
Answer:
See below
Step-by-step explanation:
To solve for d, multiply both sides of the equal sign by 4.
4(1/4d) = 4 (1/5g(g+e)-h)
4/4d = 4(1/5 + 1/5ge - h)
d = 4/5 + 4/5ge - 4h
Answer:
A) The set builder notation is: {n | n∈Z, 1≤n≤7}.
B) The set builder notation is:
C) The set builder notation is:
D) The set builder notation can be:
Step-by-step explanation:
Consider the provided information,
We need to use set-builder notation to describe the following sets.
(a) {1,2,3,4,5,6,7}
Here, the number are integer starting from 1 to 7.
Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.
(b) {1, 10, 100, 1000, 10000}
The above set can be written as:
Thus, the set builder notation is:
(c) {1, 1/2, 1/3, 1/4, 1/5, ...}
Here the numerator is 1 for each term but denominator is natural number.
Thus, the set builder notation is:
(d) {0}
The set builder notation can be:
Answer:
The equation of line with given points is 2Y - X - 5 = 0
Step-by-step explanation:
Given points are ( - 3 , 1) and (9 , 7)
Equation of line is y = mx +c
where m is the slop of line
Now m =
Or, m =
so, slop =
∴ slop =
Now the equation of line with points ( -3 , 1) and slop m is :
Y - y1 = m ( X - x1)
Or, Y - 1 = (X + 3)
Or, 2Y - X - 5 = 0
Hence The equation of line with given points is 2Y - X - 5 = 0 Answer