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Sagot :
Answer:
- a₁ = 4
Step-by-step explanation:
Given
- d = - 1
- a₇ = - 2
Find a₁
Use the nth term equation of AP
- aₙ = a₁ + (n - 1)d
Apply to the given case and solve for a₁
- - 2 = a₁ + 6(- 1)
- - 2 = a₁ - 6
- a₁ = 6 - 2
- a₁ = 4
Answer:
[tex]a_1=4[/tex]
Step-by-step explanation:
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
- [tex]a_n[/tex] is the nth term
- a is the first term
- d is the common difference between terms
Given:
- [tex]a_7[/tex] = -2
- d = -1
Therefore:
[tex]\implies a_7=-2[/tex]
[tex]\implies a+(7-1)(-1)=-2[/tex]
[tex]\implies a-6=-2[/tex]
[tex]\implies a=4[/tex]
Therefore:
[tex]\implies a_1=4[/tex]
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