Determine whether the series is convergent or divergent. 1 4 + 3 16 + 1 64 + 3 256 + 1 1024 + 3 4096 +

This series converges.

Both component series are geometric with ratios less than 1, so they both converge.

So we have

42.4

step-by-step explanation:

convert to decimal

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!