Method A: 7.6666.... = 7 + 0.6666... = 7 + 2/3 = 21/3 + 2/3 = 23/3
Method B: 10(7.666...) - 1(7.666...) = 76.666... - 7.666... = 69.000...
(10 - 1)(7.666...) = 69
7.666... = 69/9 = 23/3
Answer:
49
Step-by-step explanation:
Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.
Hence,

and

Express q:

Solve this equation. Cross multiply:

Rise over run = y2 - y1 / x2 - x1
3-12/-8 - (-17)
-9/ 9 which simplifies to —> -1 = slope
C
..................................
Answer should be 1.85 x 10^18