Given = − 8 and = 9, find the explicit form:
Given the recursive formula = − 8 with the initial term = 9, we need to find the explicit formula for the sequence.
The recurrence relation = − 8 tells us that each term decreases by 8. Therefore, the common difference d = −8.
Find the general term:
This is an arithmetic sequence where the first term Click "Show Answer" to reveal the answer and analysis
Click "Show Answer" to reveal the answer and analysis
Access thousands of practice questions with detailed explanations on Scholardog.
'%3e%3cpath%20fill-rule='evenodd'%20clip-rule='evenodd'%20d='M1.75736%201.75736C0%203.51472%200%206.34315%200%2012C0%2017.6569%200%2020.4853%201.75736%2022.2426C3.51472%2024%206.34315%2024%2012%2024C17.6569%2024%2020.4853%2024%2022.2426%2022.2426C24%2020.4853%2024%2017.6569%2024%2012C24%206.34315%2024%203.51472%2022.2426%201.75736C20.4853%200%2017.6569%200%2012%200C6.34315%200%203.51472%200%201.75736%201.75736ZM18.1727%206H16.026L12.4879%209.8345L9.42953%206H5L10.2925%2012.5633L5.27636%2018H7.42427L11.2963%2013.8054L14.6798%2018H19L13.4829%2011.0834L18.1727%206ZM16.4622%2016.7816H15.2724L7.50688%207.15475H8.78349L16.4622%2016.7816Z'%20fill='%23535A74'/%3e%3c/g%3e%3cdefs%3e%3cclipPath%20id='clip0_774_453'%3e%3crect%20width='24'%20height='24'%20fill='white'/%3e%3c/clipPath%3e%3c/defs%3e%3c/svg%3e){kind=small}
'%3e%3crect%20id='大小'%20width='24'%20height='24'%20transform='translate(510%20188)'%20fill='%23fff'%20opacity='0'/%3e%3cpath%20id='路径_1057'%20data-name='路径%201057'%20d='M14,2a12,12,0,0,0-1.875,23.854V17.469H9.079V14h3.047V11.356c0-3.007,1.791-4.669,4.533-4.669a18.454,18.454,0,0,1,2.686.234V9.875H17.832a1.734,1.734,0,0,0-1.956,1.874V14H19.2l-.532,3.469h-2.8v8.385A12,12,0,0,0,14,2Z'%20transform='translate(507.999%20186)'%20fill='%23535a74'/%3e%3c/g%3e%3c/svg%3e){kind=small}
'%3e%3cpath%20fill-rule='evenodd'%20clip-rule='evenodd'%20d='M0%2012C0%2017.6569%200%2020.4853%201.75736%2022.2426C3.51472%2024%206.34315%2024%2012%2024C17.6569%2024%2020.4853%2024%2022.2426%2022.2426C24%2020.4853%2024%2017.6569%2024%2012C24%206.34315%2024%203.51472%2022.2426%201.75736C20.4853%200%2017.6569%200%2012%200C6.34315%200%203.51472%200%201.75736%201.75736C0%203.51472%200%206.34315%200%2012ZM4.96484%209.49609V19.043H7.93359V9.49609H4.96484ZM4.72656%206.47656C4.72656%207.42578%205.49609%208.19531%206.44922%208.19531C7.39844%208.19531%208.16797%207.42188%208.16797%206.47656C8.16797%205.52734%207.39844%204.75781%206.44922%204.75781C5.49609%204.75781%204.72656%205.52734%204.72656%206.47656ZM16.0781%2019.043H19.043V13.8047C19.043%2011.2344%2018.4883%209.25781%2015.4844%209.25781C14.043%209.25781%2013.0742%2010.0508%2012.6797%2010.8008H12.6406V9.49609H9.79688V19.043H12.7578V14.3242C12.7578%2013.0781%2012.9922%2011.8711%2014.5352%2011.8711C16.0586%2011.8711%2016.0781%2013.2969%2016.0781%2014.4023V19.043Z'%20fill='%23535A74'/%3e%3c/g%3e%3cdefs%3e%3cclipPath%20id='clip0_774_461'%3e%3crect%20width='24'%20height='24'%20fill='white'/%3e%3c/clipPath%3e%3c/defs%3e%3c/svg%3e){kind=small}
'%3e%3cpath%20fill-rule='evenodd'%20clip-rule='evenodd'%20d='M0%2012C0%206.34315%200%203.51472%201.75736%201.75736C3.51472%200%206.34315%200%2012%200C17.6569%200%2020.4853%200%2022.2426%201.75736C24%203.51472%2024%206.34315%2024%2012C24%2017.6569%2024%2020.4853%2022.2426%2022.2426C20.4853%2024%2017.6569%2024%2012%2024C6.34315%2024%203.51472%2024%201.75736%2022.2426C0%2020.4853%200%2017.6569%200%2012ZM12%205.83594C8.59688%205.83594%205.83594%208.59688%205.83594%2012C5.83594%2015.4031%208.59688%2018.1641%2012%2018.1641C15.4031%2018.1641%2018.1641%2015.4031%2018.1641%2012C18.1641%208.59688%2015.4031%205.83594%2012%205.83594ZM12%2015.9984C9.79219%2015.9984%208.00156%2014.2078%208.00156%2012C8.00156%209.79219%209.79219%208.00156%2012%208.00156C14.2078%208.00156%2015.9984%209.79219%2015.9984%2012C15.9984%2014.2078%2014.2078%2015.9984%2012%2015.9984ZM18.4078%207.0312C19.2%207.0312%2019.8469%206.38902%2019.8469%205.59214C19.8469%204.79995%2019.2%204.15308%2018.4078%204.15308C17.6156%204.15308%2016.9688%204.79526%2016.9688%205.59214C16.9688%206.38433%2017.6109%207.0312%2018.4078%207.0312Z'%20fill='%23535A74'/%3e%3c/g%3e%3cdefs%3e%3cclipPath%20id='clip0_774_455'%3e%3crect%20width='24'%20height='24'%20fill='white'/%3e%3c/clipPath%3e%3c/defs%3e%3c/svg%3e){kind=small}