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how many terms are there in an arithmetic sequence whose first term and last terms are -3 and 11 respectively and5 whose common difference is 2?​

Sagot :

Icexxidn

Answer:

8 terms including -3 and 11

and 6 terms if -3 and 11 are not included in the count

Step-by-step explanation:

*see photo attached

View image Icexx
Yzumikoidn

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PROBLEM :

  • How many terms are there in an arithmetic sequence whose first term and last terms are -3 and 11 respectively and 5 whose common difference is 2?

ASKED:

  • How many terms are there in an arithmetic sequence whose first term and last terms?

SOLUTION :

[tex]\rm\begin{gathered} \rm{Given:}{\rm \begin{cases}{ \rm \: a1 = -3} \\ { \rm an\: = 11} \\\rm \: d =2 \end{cases}}\end{gathered}[/tex]

[tex]\rm \: an = a1 + (n - 1)d \\\rm = - 3 + 2(n - 1) \\ \rm= 2n - 5 = 11 \\ \rm2n = 16 \\ \rm \: n = 8[/tex]

ANSWER :

  • So , There are 8 terms.

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