kunalsingh6545 kunalsingh6545
  • 21-07-2021
  • Mathematics
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If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of the sequence?​

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MrRoyal
MrRoyal MrRoyal
  • 26-07-2021

Answer:

[tex]Sum = 32[/tex]

Step-by-step explanation:

Given

Sequence = Consecutive Odds

[tex]T_7 = 9[/tex]

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

[tex]S = \{-3,-1,1,3,5,7,9,11\}[/tex]

Add up all terms in the sequence

[tex]Sum = -3-1+1+3+5+7+9+11[/tex]

[tex]Sum = 32[/tex]

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