Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
= 
[ 2a₁ + (n - 1)d ] , thus
= 
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Step-by-step explanation:
when the difference between CI and SI given then the sum =
difference (100/r)^2
given difference is Rs . 180
Rate of interest is 15%
sum = 180× (100/15)^2
180×10000/225
= 8000
Today: x=19
y=67+19=86
9 years ago: x=19-9=10
y=86-9=77
The total age 9 years ago: x+y=10+77=87
Answer: 1/8
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Based on the information given, it should be noted that the residual for the two points will be 0.087 and -0.033 respectively.
<h3>How to find the residual.</h3>
From the complete information, the predicted value for the point (3, 0.42) will be:
= (0.091 × 3) + 0.060
= 0.0273 + 0.060
= 0.333
Therefore, the residual will be:
= 0.42 - 0.333 = 0.087
The predicted value for the point (3, 0.3) will be:
y = 0.091x + 0.060.
= (0.091 × 3) + 0.060.
= 0.333
Therefore, the residual will be:
= 0.3 - 0.333 = -0.033
Therefore, the residual for the two points will be 0.087 and -0.333 respectively.
Learn more about residuals on:
brainly.com/question/26255019
