What is the seventh term of following series: 5+6i, 7+13i, 11+32i, 19+69i, 35+130i, ....

Answer 1

Real part : 5 7 11 19 35 67 131...
Difference is in geometric progression
I.e 2 4 8 16 32 64... are the difference

Imaginary part: 6 13 32 69 130 221 348...
Differences : 7 19 37 61 91 127
Further difference : 12 18 24 30 36...

So, 7th term is 131 + 348i