queenflawless31
queenflawless31 queenflawless31
  • 20-12-2018
  • Mathematics
contestada

Find the 23 rd term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=1

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Rinkhals
Rinkhals Rinkhals
  • 20-12-2018

nth term in an Arithmetic Sequence is given by :

✿  [tex]\mathsf{T_n = a + (n - 1)d}[/tex]

Where : a is the First term and d is the Common Difference

Given : First term (a) = 1 and Common Difference (d) = 5

[tex]\mathsf{\implies T_2_3 = 1 + (23 - 1)5}[/tex]

[tex]\mathsf{\implies T_2_3 = 1 + (22)5}[/tex]

[tex]\mathsf{\implies T_2_3 = 1 + 110}[/tex]

[tex]\mathsf{\implies T_2_3 = 111}[/tex]

So, The 23rd Term of the Arithmetic Sequence is 111

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