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Zigmanuir [339]
3 years ago
14

Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are

Mathematics
1 answer:
user100 [1]3 years ago
8 0
The given sequence is
a₁, a₂, ..., a_{n}

Because the given sequence is an arithmetic progression (AP), the equation satisfied is
a_{n}=a_{1}+(n-1)d
where
d =  the common difference.

The common difference may be determined as
d = a₂ - a₁

The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..

The sum of the first n terms is
S_{n}= \frac{n}{2} (a_{1}+a_{n})

Example:
For the arithmetic sequence
1,3,5, ..., 
the common difference is d= 3 - 1 = 2.
The n-th term is
a_{n}=1+2(n-1)

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100



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Pls help quick will put brainliest
Olin [163]

Answer:

m<SQP=124°

Step-by-step explanation:

Hi there!

We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)

we need to find m<SQP (given as x+72°)

exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).

that means that m<SQP=m<R+m<S (Exterior angle theorem)

substitute the known values into the equation

x+72°=90°+34° (substitution)

combine like terms on both sides

x+72°=124° (algebra)

subtract 72 from both sides

x=52° (algebra)

however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP

m<SQP=x+72°=52°+72°=124° (substitution, algebra)

Hope this helps!

4 0
3 years ago
Which statements are true about the ordered pair (2, 3) and the system of equations?
mel-nik [20]

substitute the ordered pair (2, 3 )  into the 2 equations

(3 × 2 ) + (4 × 3 ) = 6 + 12 = 18 → True

(2 × 2 ) - (2 × 3 ) = 4 - 6 = - 2 → False

Hence the ordered pair (2, 3 ) is not a solution to the system of linear equations.

When (2, 3 ) is substituted into the first equation, the equation is true.

When (2, 3 ) is substituted into the second equation, the equation is false.



8 0
3 years ago
What is the exact length of the missing side of the triangle if the legs are 12 cm and 13 cm?
xxTIMURxx [149]

Answer:

25 cm

Step-by-step explanation:

3 0
2 years ago
50 w +100 is greater than or equal to 18000
Marrrta [24]
What you would do to “simplify” the equation is 18000-100 then divide by 50. The answer would be 358. Hoped this helped!
8 0
3 years ago
jim ran 15.2 miles over the weekend . he ran 6.75 miles on saturday. how many miles did he run on sunday?
kap26 [50]
Subtract 6.75 from 15.2 to find what he did on Sunday, because supposed the number of miles he ran on Sunday was x. Therefore, the formula should be x + 6.75 = 15.2
Solve that, and you should get that Jim ran 8.45 miles on Sunday. 
8 0
3 years ago
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