The 10th, 4th and 1st term of an A. P are three consecutive find the common ratio of the G. P and the sum of the 6th term, taking the 1st term to be 4

Common ratio=1/2

Sum of first 6 terms of an A.P=31.5

Step-by-step explanation:

Let a be the first term and d be the common difference of an A.P

a=4

nth term of an A.P

Using the formula

According to question

We know that

For G.P

=Common ratio

Substitute the value of d

When d=0

When d=4/3

But we reject d=0 because  if we take d=0 then the terms are not consecutive terms of G.P

Sum of n terms of an A.P

Using the formula

Substitute n=6 and d=1/2

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the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.