Three consecutive term of progression are 30,24 ,20 the next term of progression is ? can anyone solve this question..

It could be 18

The problem here is there are only 3 terms to consider, which makes it difficult to determine if the sequence is geometric or arithmetic

If we consider the difference in the terms

30 - 24 = 6

24 - 20 = 4

The differences are not constant so we can only guess at what the next term might be

the difference in the next terms might be 2 , following the pattern subtract 2 from each difference

20 - ? = 2 gives ? = 18

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752