Find the sum of n terms of the series 1.22 +2.32 +3.42 +.

Q: Find the sum of all multiples of 3 between 1 and 1000.

A: Given : To determine the sum of all multiples of 3 between 1 and 1000

Q: Find the sum 2"+3 3" n=-1

A: We have to find the sum of: ∑n=-1∞2n+33n

Q: Find the sum 1 회-

A: A geometric series is obtained when the ratio of the consecutive terms is constant. The nth term of…

Q: -. Write 0.223 as an infinite series and find its sum.

A:

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

A:

Q: Find S, for the geometric series 4+12+36+--

A: The given geometric series is 4+12+36+⋯ Formula used: Sn=a(1-rn)1-r

Q: Find the sum of the series Write "diverges" otherwise. 49 + 4 27 4 81 +... if it exists.

A: This is the an infinite geometric series so we will use the formula of the sum of an infinite series…