make a conjecture (obsevations based on patterns) for each sequence below.

a)7,10,13,16
b)4,44,444,4444,44444
c)2,10,50,250
d)1,2,6,42,1806,3263442

i got some of them but i think they need to be writen better
a)Add three to each number to get the next number in the sequence.
b)?(cant put it into words)
c)starting with two and going up by multiplying each new # by 5
d)is like 1*2=2, 2*3=6, 6*7=42, 42*43=1806, 1806*1807=3263442 (but i cant put that into words)
can you please help me?

b) Add the digit, 4, to each preceding number.

d) The multiplier is one more than the preceding product.

thanks!

Certainly! I'll help you express the conjectures for each sequence in a clearer way. Here are the revised conjectures:

a) The next number in the sequence is obtained by adding three to the previous number in the sequence. So the rule is: add 3 to each term.

b) The pattern in this sequence involves repetition of the number 4, where the number of repetitions increases by 1 each time. The rule is: the nth term in the sequence is made up of n repetitions of the number 4.

c) Each number in the sequence is obtained by multiplying the previous number by 5. So the rule is: multiply each term by 5 to get the next term.

d) The pattern in this sequence involves multiplying consecutive numbers together. Each term is obtained by multiplying the previous term by (n-1), where n is the previous term. So the rule is: multiply each term by the previous term to get the next term.

Here are the revised conjectures for each sequence:

a) Add 3 to each term to get the next term.
b) The nth term in the sequence is made up of n repetitions of the number 4.
c) Multiply each term by 5 to get the next term.
d) Multiply each term by the previous term to get the next term.

These conjectures capture the patterns and rules observed in each sequence.