13. If 6 times the 6th term of an A.P. is equal to
1 answer:
Answer:
see explanation
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
6(a₁ + 5d) = 13(a₁ + 12d) ← distribute parenthesis on both sides
6a₁ + 30d = 13a₁ + 156d ( subtract 13a₁ from both sides )
- 7a₁ + 30d = 156d ( subtract 30d from both sides )
- 7a₁ = 126d ( divide both sides by - 7 )
a₁ = - 18d
Now
a₁₉ = a₁ + 18d = - 18d + 18d = 0 ← as required
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Answer:
Step-by-step explanation:
1) -5 +3 = -2
When two numbers are in different sign, subtract and the result will have the bigger numbers sign. The bigger number is 5. so the result is (-2)
2) -7 - 2 = -9
When two numbers have same sign, add and the result will have the common sign
3) 122 * (-9) = - 1098
4) -6 ÷ (3/4)
= -8