4. Four numbers with mean 7.5, mode 6 and median 7 for grade 7

Number set in order: 6, 6, 8, 10

Step-by-step explanation:

Let the four numbers be represented by a, b, c and d;

Mean = ¹/₄(a + b + c + d) = 7.5

a + b + c + d = 30

Mode is 6, which, by extension, means there is a mode, thus 6 must be the most common number;

This has to mean at least 2 of the numbers are 6;

With the median being 7, we know:

¹/₂(b + c) = 7

b + c = 14

b has to be 6, meaning c is 8;

a must also be 6, making d equal to 10.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

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step-by-step explanation: