mrs colon 🫩✌️

explicit formula

arithmetic: An= a + (n-1)d

geometric: An= ar^n-1

find missing germ in arithmetic sequence

last term = first term + d(total terms-1)

explicit formula to find specific term in a geometric sequence

A1(ratio)^term-1

find missing term in geometric sequence

last term = first term * r^total terms-1

determine sum of the finite arithmetic series

s_(total terms)= first term/2(first term + last)

to find total terms

biggest term - smallest term + 1

evaluate finite geometric series for the specified number of terms

S_n= first term(1-(R)^n) all over 1-R

determine if the series diverges or converges

r<1 = converges has a sum

r>1 = diverges has no sum

determine the sum of the converging geometric series

S_∞= first term over 1-ratio