Question

Find the lowest term of an AP whose sum of
all terms is 105 and greatest term is 6 times
the lowest term.​

Answer 1

Answer:

5

Step-by-step explanation:

Given Find the lowest term of an AP whose sum of

all terms is 105 and greatest term is 6 times

the lowest term

We get the lowest term 5 and greatest term as 30 since greatest term is 6 times the lowest term.

So average of A.P will be 5 + 30 / 2 = 17.5

Now 17.5 x n = 105

To obtain a total of 105 we need n = 6 which is 6 terms in this A.P. So the A.P will be 5, 10, 15, 20, 25, 30. So common difference is 5.  

Now the lowest term is 5