Number 6
The answer is letter A
Need lang ng solution plss
Answer (1)
Answer:AStep-by-step explanation:Find ths sum of the first 40 terms of the arithmetic sequence if the first term is 16 and tenth term is 70First, let's follow the arithmetic sequenceaₙ = a + (n-1)da₁₀=a+(10-1)dwe know that a₁₀ = 70 and the first term (a) is 16, so we substitute the values70 = 16 + (10-1)d70 = 16 + 9dTranspose70-16=9d54=9ddivide both sides by 96=dnow, we're able to solve the sum next using this formula[tex]$$ S_n = \frac{n}{2} (2a + (n-1)d) $$[/tex]substitute for the given values[tex]$$ S_{40} = \frac{40}{2} (2 \cdot 16 + (40-1) \cdot 6) $$[/tex]=20[32+(40-1)6]=20(32+234)= 20(266)=5320Therefore, the answer is letter A
