Please help will Mark Brainily and please help me with showing work

a=15

Step-by-step explanation:

Pythagorean Theorum says that a²+b²=c², so if we square b and c, subtract b² from c², and then square root that answer, it will equal a.

a²+8²=17²

8²=64

17²=225

225-64=225

√225=15

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for