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Alecsey [184]
4 years ago
5

Find s25 for 4 14 24 34

Mathematics
2 answers:
maksim [4K]4 years ago
8 0

Answer:

The value of S_{25} is 3100.

Step-by-step explanation:

The given arithmetic sequence is

4, 14, 24, 34

First term of AP is 4 and common difference is

d=a_2-a_1\Rightarrow 14-4=10

We need to find the value of S_{25}. It means we have to find the sum of first 25 terms of the given AP.

The formula for sum of first n terms of an AP is

S_n=\frac{n}{2}[2a+(n-1)d]

where, n is number of terms, a is first term and d is common difference.

The sum of first 25 terms is

S_{25}=\frac{25}{2}[2(4)+(25-1)(10)]

S_{25}=\frac{25}{2}[8+240]

S_{25}=\frac{25}{2}[248]

S_{25}=3100

Therefore the value of S_{25} is 3100.

S_A_V [24]4 years ago
7 0
From the question, "s25" means the sum of the first 25 terms in the arithmetic sequence given. Given that the difference between each term is 10, the summation notation can be written as such:

  24
<span>  ∑ (4 + 10X)
</span>n = 0

Such that, the sum of the first 25 terms is 3100..
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