Find the seventh term of the following sequence? 1.5, 3, 6, …

Solution:

The given series or the sequence appears to be a geometric progression with

a = 1.5 (the first term)

And common ratio

r = 3/1.5 = 6/3 = 2

The nth term of a geometric series is given by:

T_n = ar^{n - 1}

The seventh term is therefore given as:

T₇ = (1.5)(2)^{7 - 1}

= (1.5)(2)⁶

= (1.5)(2)(2)(2)(2)(2)(2)

= (1.5)(64)

= 96

Find the seventh term of the following sequence? 1.5, 3, 6, …

Summary:

The seventh term of the following sequence 1.5, 3, 6, … is 96