1.

If the arithmetic mean of x, x + 3, x + 6, x + 9, and x + 12 is 10, the x = A. 1 B. 2 C. 6 D. 4

Answer»

Terms are x, x + 3, x + 6, x + 9, x + 12

No of terms = 5

We know that

Mean = \(\frac{Sum\,of\,all\,observation}{No\,of\,observation }\)

\(\Rightarrow=\frac{x+x+3+x+6+x+9+x+12}{5}\)

⇒ 50 = 5x + 30 

⇒ 5x = 20 

⇒ x = 4



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