please answer this question fast
Answers
Answer:
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Solution 5 :-
Given AP :- 17 , 14 , 11 , ... -40
Here, We have to find 6th term if an AP from the end, so arrange the AP
Therefore,
-40...11 , 14 , 17
Here,
First term of an AP = -40
Common Difference = 3
Now,
We have to find 6th term
Therefore,
By using formula to find number of terms of an AP
an = a + ( n - 1 )d
a6 = -40 + ( 6 - 1 )3
a6 = -40 + 5 * 3
a6 = -40 + 15
a6 = -25
Hence, The 6th term if an AP is -25 .
Solution 6 :-
Given AP :- 0.6 , 1.7 , 2.8 , 3.9 ...
[ An arithmetic progression is a list of numbers in which each term is obtained by adding a fixed number to the preceeding term except the first term ]
The first term is denoted by a
Here, a1 = 0.6
Common difference = a2 - a1 = 1.7 - 0.6 = 1.1
Solution 7 :-
4x^2 + 5x = 0
This is a quadratic equation which having highest power of degree 2 .
Therefore,
Comparing the given equation with
ax^2 + bx + c = 0
Therefore ,
4x^2 + 5x - 0 = 0
Here, a = 4 , b = 5 and c = 0
By using the quadratic formula
-b ± √b^2 - 4ac /2a
Put the required values,
x = -5 ± √5^2 - 4 * 5 * 0 / 2 * 5
x = -5 ±√25 / 10
x = -5 ± 5 / 10
Therefore,
x = 10/10 = 1 or x = 0/10 = 0
Hence, The two roots are 1 and 0