WebThe first term and the common ratio are both given in the problem. The only thing we have to do is to plug these values into the geometric sequence formula then use it to find the nth term of the sequence. a) The first term is \large { {a_1} = 3} a1 = 3 while its common ratio is r = 2 r = 2. This gives us. WebFind the seventh term of the geometric sequence 1,−3,9,−27,.... A -243 B -30 C 81 D 189 E 729 Easy Solution Verified by Toppr Correct option is E) n th term of geometric sequence =a n=a 1×(r) n−1 Where a 1 = first term ,r= common ratio, n=n th term Here a 1=1.r= 1−3=−3,n=7 th term ⇒a 7=1×(−3) 7−1 ⇒a 7=1×(−3) 6 ⇒a 7=729 Was this …
Arithmetic & Geometric Sequences Purplemath
WebLearn how to find recursive formulas for arithmetic sequences. For example, find the recursive formula of 3, 5, 7,... Before taking this lesson, make sure you are familiar with … WebEach successive term is multiplied by 3, so for any term n (where n>=1), its denominator would be 3^(n-1). Then notice that every numerator is 4 less than its denominator, so the formula for the numerator would be 3^(n-1) - 4. Putting these together, the terms of the sequence would be represented by the formula ( 3^(n-1) - 4 ) / 3^(n-1) where n>=1. chorcom 2023
Explicit formulas for arithmetic sequences Algebra (article)
WebFind the 7th term in the sequence. -1, 2, -4, 8,... Hint: Write a formula to help you. 1st term · Common Ratio(desired term - 1) Remember to use the correct Order of Operations! Enter. Question. thumb_up 100%. helpp. Transcribed Image Text: My Drive Unit 1 Review Status Review Find the 7th term in the sequence. -1, 2, -4, 8,... Hint: Write a ... WebAug 28, 2024 · Step-by-step explanation: to get the next term, the sequence multiples the previous number by -3. 1 * -3 = -3. -3 * -3 = 9. and so on. To get the 7th term: -27 * -3 = … WebExplanation Detail steps. Write the general term through the pattern:: {a}_ {n} = 2 (\dfrac {3} {2})^ {n - 1} Substitute and calculate:: {a}_ {7} = \dfrac {729} {32} Write the general term … great circle of gods