The first term will be 3 and the sum of the first 9 terms will be 81.
<h3>What is Arithmetic progression?</h3>
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Given,
Six terms as 10.5
So,
a₆ = 10.5
Common difference(d) = 1.5
The nth term of an AP is given by
= a + (n-1)d
So,
a₆ = a + (6-1)d
10.5 = a + 5(1.5)
a = 3
Now,
The Sum of n terms is given by
S = n/2[2a + (n-1)d]
S = 9/2[6 + 8(1.5)]
S = 81
Hence the first term will be 3 and the sum of 9 terms will be 81.
For more about Arithmetic progression
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Answer:
37°
Step-by-step explanation:
We have been given the diagram of the triangle;
To find the angle I;
We need to apply one of the geometry laws,
The sum of adjacent internal angles of a triangle gives the external angle;
So;
I + 115 = 152
Solve for I;
I = 152 - 115 = 37°
Answer:
D= 49/8
Step-by-step explanation:
Cross-multiply.
(2d-5)/2 = (5d+2)/9
(2d−5)*(9)=(5d+2)*(2)
18d−45=10d+4
Subtract 10d from both sides.
18d−45−10d=10d+4−10d
8d−45=4
Add 45 to both sides.
8d−45+45=4+45
8d=49
Divide both sides by 8.
d= 49/8
So the answer is 49/8
I hope it's right!
First you to eliminate i from denominator.
mult by (7+3i) above and below
=(49+42i-9)/(49-9)
which is (40+42i)/40 which can simplify
Answer:
$5.85
Step-by-step explanation:
