Question

How can you represent the terms of a sequence?

Answer 1

Somebody ? Please Help me ..

Answer 2

you can represent them using the \(general\ term\) maybe
for ex, the general term / nth term of arithmetic sequence is
\(a_n = a + (n-1)d\)

Answer 3

Thank you soooo Much May you assist me With Another Question Please ? .... @ganeshie8

Answer 4

ha sure :)

Answer 5

How can you define an arithmetic or geometric sequence?

Answer 6

don't understand your question

Answer 7

arithmetic sequence progresses with a \(common\ difference\),
ex :- 1, 2, 3, 4, 5....
is an arithmetic sequence cuz, difference between any two adjacent terms is same (equal to 1 here)

Answer 8

Oh okay and like How can you model the sum of an arithmetic or geometric series? @ganeshie8

Answer 9

we're not done wid geometric sequence yet :)

geometric sequence progresses with a \(common\ ratio\),
ex :- 1, 2, 4, 8, 16....
is an geometrc sequence cuz, ratio between any two adjacent terms is same (equal to 2 here)

Answer 10

Ohhhhhhh Okay im Sorry and then ? was that it about geometric sequence?

Answer 11

yup !

Answer 12

and what about How can you model the sum of an arithmetic or geometric series?

Answer 13

@ganeshie8

Answer 14

;)

Answer 15

Sum of arithmetic sequence can be modelled using the formula :-

\(\large S_n = \frac{n}{2}[2a+(n-1)d]\)

where,
\(n\) = number of terms
\(a\) = first term
\(d\) = common difference

Answer 16

Sum of geometric sequence can be modelled using the formula :-

\(\large S_n = \frac{a(r^n-1)}{r-1}\)

where,
\(n\) = number of terms
\(a\) = first term
\(r\) = common ratio

Answer 17

Thank you soooo very much !!

Answer 18

np :)