Answered

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5. Which expression defines the arithmetic series 1 + 3 + 5 +... for seven terms?Σ(27-1)Σ(n-1)OΣ2ηO2n-1

5 Which Expression Defines The Arithmetic Series 1 3 5 For Seven TermsΣ271Σn1OΣ2ηO2n1 class=

Sagot :

We have the following expression 1 + 3 + 5 +... until the 7th term.

Each term equals the previous term plus 2.

So, for any term of number n, we have:

[tex]a_{n+1}=a_1+n\cdot r_{}[/tex]

In this case, r = 2.

The sum of all therms of an arithmetic progression with 7 terms and a diference r between two consecutive terms is:

[tex]\sum ^7_{n\mathop=1}a_1+(n-1)\cdot r[/tex]

For a1 = 1 and r = 2, we got:

[tex]\sum ^7_{n\mathop=1}2n-1_{}[/tex]

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