Look at this series: 544, 509, 474, 439, ... What number should come next?
Answers
Answered by
10
it is ARITHMETIC PROGRESSION
common difference is same b/w all terms
d=-34
an =a1+(n-1)d
a5=a1+4d
a5=544+4(-35)
a5 =404
which is required
common difference is same b/w all terms
d=-34
an =a1+(n-1)d
a5=a1+4d
a5=544+4(-35)
a5 =404
which is required
Answered by
6
Answer:
404
Explanation:
544, 509, 474, 439, ...
This series is in Arithmetic progression ( A. P )
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d ..
Thus nth term of an AP series is Tn = a + (n - 1) d
Here,
a = 544
d is the difference between two terms.
Therefore,
d = 509-544 = -35
Tn =a+(n-1)d
n is the number of terms,
Therefore, n =5
Tn=a+4d
Tn=544+4(-35)
Tn =404
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