Order 4.2, -4 1/9, -4.6, 4 3/8 in least to greatest form

-4.6, -4 1/9, 4.2, 4 3/8

Step-by-step explanation:

Step 1:  Convert to have all fractions with common denominator:  

4 2/10 = 42/10 * 36/36 = 1512/360

-4 1/9 = -37/9 * 40/40 = -1480/360

-4 6/10 = -46/10 * 36/36 = -1656/360

4 3/8 = 35/8 * 45/45 = 1575/360

Step 2:  Order new fractions from least to greatest

-1656/360, -1480/360, 1512/360, 1575/360

Step 3:  Order with old fractions/decimals by looking at previous step

-4.6, -4 1/9, 4.2, 4 3/8

 -4.6, -4 1/9, 4.2, 4 3/8

2

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2