Math, asked by yannadaep, 5 months ago

C. Solve what is asked:
1. Insert four arithmetic means between -1 and 14.​

Answers

Answered by k4250723
1

This is very hard question

Answered by pulakmath007
20

SOLUTION

TO DETERMINE

Four arithmetic mean between - 1 & 14

CALCULATION

We have to Insert four arithmetic means between -1 and 14.

Let x, y, u, v be the four arithmetic means between -1 and 14

So - 1, x, y, u, v, 14 are in Arithmetic Progression

First term = a = - 1

Let Common Difference =d

Then sixth term = 14

 \sf{}a + (6 - 1)d = 14

 \implies \sf{} - 1 + 5d = 14

 \implies \sf{}  5d = 15

 \implies \sf{} d =3

So

x = a + d = - 1 + 3 = 2

y = x + d = 2 + 3 = 5

u = y + d = 5+ 3 = 8

w = u + d = 8 + 3 = 11

FINAL ANSWER

The four arithmetic means between -1 and 14 are 2, 5, 8, 11

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