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The 200th term of the arithmetic progression 10 97,94,91,.............is​

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Answer:

-500

Explanation:

Given sequence;

97, 94, 91 ......

Unknown;

The 200th term of the sequence;

Solution:

Since we were given an arithmetic progression, we need to first find the common difference;

Common difference = second term - first term

= 94 - 97

= -3

To find the 200th term, we use the expression below;

Sn = a + (n-1)d

a is the first term

n is the nth term

d is the common difference

S₂₀₀ = 97 + (200 - 1 ) x -3 = -500

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