Question

Show that the progression 0.4, 0.8, 1.6, ......... is a G.P.
Write its (i) first term
(ii) common ratio
(iii) nth term
(iv) 7th term.​

Answer 1

Answer:

Step-by-step explanation:

Hope u got ur answer

Answer 2

Hello !!

Is very simple solve your question. See the resolution below.

I) The first term.

0.4 is the first term you can see in the sequence, not need make calculation.

II) The common ratio.

r^(n - k) = (An/Ak)

r^(2 - 1) = (0.8/0.4)

r = 2

III) The nth term.

An = Ak × r^(n - k)

An = 0.4 × 2^(n - 1)

An = 2(2^(n - 1))/5

IV) The 7th term.

An = 2(2^(n - 1))/5

A7 = 2(2^(7 - 1))/5

A7 = 2(2^(6))/5

A7 = 128/5

A7 = 25.6

I hope I have collaborated !